%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 16:31:37 EDT 2023

% Result   : Theorem 1.04s 1.33s
% Output   : Proof 1.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.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   : Wed Aug 23 18:05:47 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 1.04/1.33  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ujJn6XOpiB/cvc5---1.0.5_29705.p...
% 1.04/1.33  ------- get file name : TPTP file name is SEU425+1
% 1.04/1.33  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29705.smt2...
% 1.04/1.33  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.04/1.33  % SZS status Theorem for SEU425+1
% 1.04/1.33  % SZS output start Proof for SEU425+1
% 1.04/1.33  (
% 1.04/1.33  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_relset_2 A C)) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.m2_relset_1 C A B)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k4_relset_1 A B C) (tptp.k1_relat_1 C)))))) (let ((_let_6 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_7 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_8 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))))) (let ((_let_9 (and _let_7 _let_6 (tptp.v3_relat_1 tptp.k1_xboole_0)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 A B))) (=> (tptp.v1_relat_1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k5_relset_2 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.r1_tarski D A) (= (tptp.k1_funct_1 C D) (tptp.k9_relat_1 B D)))))))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_14 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C)))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (let ((_let_3 (tptp.k5_relset_2 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (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_15 (tptp.k2_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.k1_zfmisc_1 _let_15))) (let ((_let_17 (tptp.v1_xboole_0 _let_16))) (let ((_let_18 (= tptp.k1_xboole_0 _let_16))) (let ((_let_19 (not _let_17))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= tptp.k1_xboole_0 _let_22))) (let ((_let_24 (and _let_18 (not _let_23)))) (let ((_let_25 (tptp.k5_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.k4_relset_1 _let_22 _let_16 _let_25))) (let ((_let_27 (= _let_22 _let_26))) (let ((_let_28 (tptp.v1_funct_2 _let_25 _let_22 _let_16))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (or _let_24 _let_29))) (let ((_let_31 (not _let_18))) (let ((_let_32 (and _let_30 (or _let_31 _let_23 (= _let_28 (= tptp.k1_xboole_0 _let_25)))))) (let ((_let_33 (tptp.m2_relset_1 _let_25 _let_22 _let_16))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= tptp.k1_xboole_0 A))) (let ((_let_3 (= tptp.k1_xboole_0 B))) (or (not (tptp.m2_relset_1 C A B)) (and (or (and _let_3 (not _let_2)) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (or (not _let_3) _let_2 (= _let_1 (= tptp.k1_xboole_0 C))))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.r1_tarski (tptp.k2_relat_1 _let_25) _let_16))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.k1_relat_1 _let_25))) (let ((_let_41 (tptp.r1_tarski _let_40 _let_22))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v1_relat_1 _let_25))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_39 _let_33))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.v1_relat_1 C)) (not (tptp.r1_tarski (tptp.k1_relat_1 C) A)) (not (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.m2_relset_1 C A B))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_38))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_relset_2 A C)) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (tptp.v1_funct_1 _let_25))) (let ((_let_54 (and _let_53 _let_28 _let_33))) (let ((_let_55 (or _let_49 _let_54))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k2_relat_1 C)))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (let ((_let_3 (tptp.k5_relset_2 A C))) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (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_57 (not _let_55))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (or))) (let ((_let_60 (not _let_56))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_58) :args (_let_60))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_57)) :args _let_59)) _let_58 :args (_let_57 true _let_56)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_59)) :args ((or _let_48 _let_55))) _let_61 :args (_let_48 true _let_55)))) (let ((_let_63 (tptp.r1_tarski _let_22 _let_22))) (let ((_let_64 (= _let_22 _let_40))) (let ((_let_65 (forall ((A $$unsorted)) (tptp.r1_tarski A A)))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (and _let_64 (forall ((D $$unsorted)) (or (not (tptp.r1_tarski D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D) (tptp.k1_funct_1 (tptp.k5_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) D))))))) (let ((_let_68 (not _let_53))) (let ((_let_69 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_44 _let_68 _let_67))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1043 $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_relat_1 BOUND_VARIABLE_1043)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1043)) (= (= (tptp.k5_relset_2 A B) BOUND_VARIABLE_1043) (and (= (tptp.k1_zfmisc_1 A) (tptp.k1_relat_1 BOUND_VARIABLE_1043)) (forall ((D $$unsorted)) (or (not (tptp.r1_tarski D A)) (= (tptp.k9_relat_1 B D) (tptp.k1_funct_1 BOUND_VARIABLE_1043 D)))))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (and _let_43 _let_53))) (let ((_let_75 (or _let_70 _let_74))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 A B))) (or (not (tptp.v1_relat_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (or _let_49 _let_69))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.v1_relat_1 C))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_49 _let_69 (not _let_78)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_69 false _let_48 false _let_78)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_70 _let_74 (not _let_75)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k5_relset_2 A B)))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_74 false _let_69 false _let_75)))) (let ((_let_83 (not _let_74))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 0)) :args ((or _let_43 _let_83))) _let_82 :args (_let_43 false _let_74)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_53 _let_83))) _let_82 :args (_let_53 false _let_74)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 0)) :args ((or _let_64 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_68 _let_70 _let_44 _let_67 (not _let_71)))) _let_85 _let_81 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_1 BOUND_VARIABLE_1043) false)) (tptp.k5_relset_2 A B)))) :args (_let_72)))) _let_73 :args (_let_71 false _let_72)) :args (_let_67 false _let_53 false _let_69 false _let_43 false _let_71)) :args (_let_64 false _let_67)))) (let ((_let_87 (not _let_64))) (let ((_let_88 (and _let_64 _let_63))) (let ((_let_89 (ASSUME :args (_let_63)))) (let ((_let_90 (ASSUME :args (_let_64)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_33 _let_44 _let_42 _let_39 (not _let_45)))) _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_90) (SCOPE (TRUE_ELIM (TRANS (CONG _let_91 (REFL :args (_let_22)) :args (APPLY_UF tptp.r1_tarski)) (TRUE_INTRO _let_89))) :args (_let_63 _let_64))) :args (_let_64 _let_63))) :args (true _let_88)) :args ((or _let_41 _let_87 (not _let_63)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_tarski A A) true))))) :args (_let_65))) _let_66 :args (_let_63 false _let_65)) :args (_let_41 false _let_64 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_38 (not _let_50)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_38 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_22 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_relset_1 C A B) true))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_33 false _let_43 false _let_41 false _let_38 false _let_45)))) (let ((_let_93 (not _let_29))) (let ((_let_94 (= _let_40 _let_26))) (let ((_let_95 (tptp.m1_relset_1 _let_25 _let_22 _let_16))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (= (tptp.k4_relset_1 A B C) (tptp.k1_relat_1 C)))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (= _let_33 _let_95))) (let ((_let_101 (_let_4))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (and _let_64 _let_94))) (let ((_let_104 (ASSUME :args (_let_94)))) (let ((_let_105 (ASSUME :args (_let_7)))) (let ((_let_106 (ASSUME :args (_let_18)))) (let ((_let_107 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_105 _let_106 _let_107) :args (_let_7 _let_19 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_107)) (CONG (SYMM _let_106) :args (APPLY_UF tptp.v1_xboole_0)) (TRUE_INTRO _let_105))) :args (_let_7 _let_18 _let_19)) :args ((not (and _let_7 _let_19 _let_18)) SB_LITERAL))) (CONG (REFL :args ((not _let_7))) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) (REFL :args (_let_31)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_18 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_24 _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_28 (not _let_27) _let_93))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_54)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_61 :args ((not _let_54) true _let_55)) _let_85 _let_92 :args ((not _let_28) true _let_54 false _let_53 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_90) (SCOPE (TRANS (SYMM _let_91) (SYMM (SYMM _let_104))) :args (_let_94 _let_64))) :args (_let_64 _let_94))) :args (true _let_103)) :args ((or _let_87 _let_27 (not _let_94)))) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_94 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_34 _let_95 (not _let_100)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_22 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_101)) _let_102 :args (_let_100 false _let_4)) :args (_let_95 false _let_33 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_22 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_relset_1 C A B) false))))) :args (_let_98)))) _let_99 :args (_let_97 false _let_98)) :args (_let_94 false _let_95 false _let_97)) :args (_let_27 false _let_64 false _let_94)) :args (_let_93 true _let_28 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_30 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 (not _let_35)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_22 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_relset_1 C A B) false))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_32 false _let_33 false _let_35)) :args (_let_30 false _let_32)) :args (_let_24 true _let_29 false _let_30)) :args (_let_18 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_zfmisc_1 A)))) :args _let_20)) _let_21 :args (_let_19 false _let_8)) (AND_ELIM (ASSUME :args (_let_9)) :args (0)) :args (false false _let_18 true _let_17 false _let_7)) :args (_let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) _let_13 _let_12 _let_11 true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k4_relset_1 A B C) (tptp.k1_zfmisc_1 A)))) _let_10 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$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 $$unsorted)) (tptp.m2_relset_1 C A B))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (and _let_7 _let_6) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 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)))))) (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 (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 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 $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.04/1.34  )
% 1.04/1.34  % SZS output end Proof for SEU425+1
% 1.04/1.34  % cvc5---1.0.5 exiting
% 1.04/1.35  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------