%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU438+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 16:31:45 EDT 2023

% Result   : Theorem 27.34s 27.54s
% Output   : Proof 27.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15  % Problem    : SEU438+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.16  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Wed Aug 23 21:03:47 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 27.34/27.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.d7L0fOkcAw/cvc5---1.0.5_21328.p...
% 27.34/27.54  ------- get file name : TPTP file name is SEU438+1
% 27.34/27.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21328.smt2...
% 27.34/27.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.34/27.54  --- Run --no-e-matching --full-saturate-quant at 5...
% 27.34/27.54  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.34/27.54  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.34/27.54  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.34/27.54  % SZS status Theorem for SEU438+1
% 27.34/27.54  % SZS output start Proof for SEU438+1
% 27.34/27.54  (
% 27.34/27.54  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))))) (let ((_let_2 (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.r2_hidden D (tptp.k8_relset_2 B A C E)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F C) (tptp.r2_hidden D (tptp.k9_relat_1 E (tptp.k1_tarski F)))))))))))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k2_xboole_0 B C) _let_1) (tptp.k2_xboole_0 (tptp.k9_relat_1 B _let_1) (tptp.k9_relat_1 C _let_1)))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))))) (let ((_let_7 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_8 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_9 (and _let_8 _let_7 (tptp.v3_relat_1 tptp.k1_xboole_0)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.m1_subset_1 (tptp.k8_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))))) (let ((_let_15 (forall ((A $$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_16 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C D) (tptp.k8_relset_2 A B C E)) (tptp.k8_relset_2 A B C (tptp.k4_subset_1 _let_1 D E))))))))))))) (let ((_let_17 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_19 (tptp.k2_xboole_0 _let_18 _let_17))) (let ((_let_20 (tptp.k4_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_17))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_20))) (let ((_let_23 (tptp.k2_xboole_0 _let_17 _let_18))) (let ((_let_24 (= _let_19 _let_23))) (let ((_let_25 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_23))) (let ((_let_26 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.m1_subset_1 _let_17 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.m1_subset_1 _let_18 _let_26))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_21))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((tptp.k4_subset_1 A B C)))) (let ((_let_36 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (tptp.k1_zfmisc_1 _let_36))) (let ((_let_38 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_27))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.m1_subset_1 (tptp.k8_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.k8_relset_2 A B C D)))) (let ((_let_47 (tptp.k4_subset_1 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47))) (let ((_let_49 (tptp.r1_tarski _let_20 _let_48))) (let ((_let_50 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_37))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_41 _let_51 _let_39 _let_49))) (let ((_let_53 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1202 $$unsorted) (BOUND_VARIABLE_1200 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1200 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1202 _let_2)) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C BOUND_VARIABLE_1200) (tptp.k8_relset_2 A B C BOUND_VARIABLE_1202)) (tptp.k8_relset_2 A B C (tptp.k4_subset_1 _let_1 BOUND_VARIABLE_1200 BOUND_VARIABLE_1202))))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_53))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_57))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_53))) (REFL :args (_let_54)) :args _let_56)) _let_55 :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 2)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_56)) :args ((or _let_38 _let_52))) _let_58 :args (_let_38 true _let_52)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_56)) :args ((or _let_40 _let_52))) _let_58 :args (_let_40 true _let_52)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_39 _let_27 (not _let_42)))) _let_61 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_27 false _let_40 false _let_38 false _let_42)))) (let ((_let_63 (or _let_41 _let_51 _let_29))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_56)) :args ((or _let_50 _let_52))) _let_58 :args (_let_50 true _let_52)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_41 _let_51 _let_29 (not _let_63)))) _let_61 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_63 false _let_43)) :args (_let_29 false _let_40 false _let_50 false _let_63)))) (let ((_let_66 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_48))) (let ((_let_67 (not _let_22))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.k4_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (tptp.r2_hidden C (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k4_subset_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (= _let_49 _let_69))) (let ((_let_72 (not _let_69))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C A)) (tptp.r2_hidden C B))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_72))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_69))) (REFL :args (_let_70)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_71)) :args ((or _let_49 _let_72 (not _let_71)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 3)) _let_58 :args ((not _let_49) true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_20 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_tarski A B)))) :args (_let_73))) _let_74 :args (_let_71 false _let_73)) :args (_let_72 true _let_49 false _let_71)) :args (_let_70 true _let_69)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG (REFL :args (_let_68)) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_22))) :args _let_56)) :args ((or _let_22 _let_68))) _let_76 :args (_let_22 true _let_68)))) (let ((_let_78 (_let_14))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.k2_xboole_0 A B)))) (let ((_let_81 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_18))) (let ((_let_82 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_17))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (= _let_25 _let_83))) (let ((_let_85 (not _let_25))) (let ((_let_86 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_2 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.r2_hidden D (tptp.k2_xboole_0 _let_2 _let_1)) (or (tptp.r2_hidden D _let_2) (tptp.r2_hidden D _let_1)))))))) (let ((_let_87 (_let_13))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (_let_86))) (let ((_let_90 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_91 (not _let_83))) (let ((_let_92 (forall ((F $$unsorted)) (or (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.k1_tarski F))))))) (let ((_let_93 (= _let_81 _let_92))) (let ((_let_94 (not _let_81))) (let ((_let_95 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_98 (or _let_97 _let_41 _let_96 _let_51 _let_93))) (let ((_let_99 (forall ((A $$unsorted) (BOUND_VARIABLE_1538 $$unsorted) (BOUND_VARIABLE_1536 $$unsorted) (BOUND_VARIABLE_1534 $$unsorted) (BOUND_VARIABLE_1532 $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 BOUND_VARIABLE_1534 (tptp.k1_zfmisc_1 BOUND_VARIABLE_1532))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1538 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1536 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_1532 A)))) (= (tptp.r2_hidden BOUND_VARIABLE_1538 (tptp.k8_relset_2 BOUND_VARIABLE_1532 A BOUND_VARIABLE_1534 BOUND_VARIABLE_1536)) (forall ((F $$unsorted)) (or (not (tptp.r2_hidden F BOUND_VARIABLE_1534)) (tptp.r2_hidden BOUND_VARIABLE_1538 (tptp.k9_relat_1 BOUND_VARIABLE_1536 (tptp.k1_tarski F)))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (tptp.k8_relset_2 BOUND_VARIABLE_1532 A BOUND_VARIABLE_1534 BOUND_VARIABLE_1536))) (let ((_let_103 (_let_102 (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1538 A) false))))) (let ((_let_104 (tptp.m1_subset_1 _let_20 _let_26))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_67 _let_105 _let_95))) (let ((_let_107 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (or _let_30 _let_28 _let_104))) (let ((_let_110 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 ((tptp.k4_subset_1 A B C)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_30 _let_28 _let_104 (not _let_109)))) _let_65 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_109 false _let_110)) :args (_let_104 false _let_29 false _let_27 false _let_109)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_67 _let_95 (not _let_106)))) _let_114 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_95 false _let_104 false _let_22 false _let_106)))) (let ((_let_116 (= tptp.k1_xboole_0 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:args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.k9_relat_1 (tptp.k2_xboole_0 B BOUND_VARIABLE_1448) (tptp.k1_tarski A))))) :args (_let_160))) _let_161 :args (_let_159 false _let_160)) :args (_let_149 false _let_155 false _let_157 false _let_159)) :args (_let_154 false _let_153 false _let_152 true _let_150 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_147) :args _let_90) :args _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_139 _let_133 _let_142 QUANTIFIERS_INST_CBQI_PROP)) :args _let_87))) _let_88 :args (_let_146 false _let_13)) :args (_let_144 false _let_146)) :args (_let_145 true _let_143 false _let_144)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_168 0)) (CONG (REFL :args (_let_168)) (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_56)) :args ((or _let_135 _let_168))) _let_179 :args (_let_135 true _let_168)))) (let ((_let_190 (_let_92))) (let ((_let_191 (forall ((F $$unsorted)) (or (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k1_tarski F))))))) (let ((_let_192 (= _let_82 _let_191))) (let ((_let_193 (not _let_82))) (let ((_let_194 (or _let_97 _let_41 _let_96 _let_39 _let_192))) (let ((_let_195 (or _let_136 _let_140))) (let ((_let_196 (not _let_195))) (let ((_let_197 (not _let_140))) (let ((_let_198 (_let_191))) (let ((_let_199 (ASSUME :args (_let_85)))) (let ((_let_200 (ASSUME :args (_let_24)))) (let ((_let_201 (ASSUME :args (_let_21)))) (let ((_let_202 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_199 _let_200 _let_201 _let_202) :args (_let_21 _let_22 _let_24 _let_85)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_202)) (CONG _let_187 (TRANS (SYMM (SYMM _let_201)) (SYMM (SYMM _let_200))) :args _let_183) (FALSE_INTRO _let_199))) :args (_let_85 _let_24 _let_21 _let_22)) :args ((not (and _let_21 _let_22 _let_24 _let_85)) SB_LITERAL))) (CONG (REFL :args ((not _let_21))) (REFL :args (_let_67)) (REFL :args ((not _let_24))) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_25))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_84)) :args ((or _let_83 _let_85 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 _let_91))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_192)) :args ((or _let_191 _let_193 (not _let_192)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_198) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_198)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_136 _let_140 _let_196))) _let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_141 0)) :args ((or _let_197 _let_141))) _let_188 :args (_let_197 true _let_141)) :args (_let_196 false _let_135 true _let_140)) :args ((not _let_191) true _let_195)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_41 _let_39 _let_97 _let_96 _let_192 (not _let_194)))) _let_61 _let_60 _let_131 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_100 :args (_let_194 false _let_99)) :args (_let_192 false _let_40 false _let_38 true _let_97 false _let_95 false _let_194)) :args (_let_193 true _let_191 false _let_192)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_92 _let_94 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_190) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_190)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_134 _let_138))) _let_189 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_141 1)) _let_188 :args ((not _let_134) true _let_141)) :args (_let_138 false _let_135 true _let_134)) :args ((not _let_92) true _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_41 _let_51 _let_97 _let_96 _let_93 (not _let_98)))) _let_61 _let_64 _let_131 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_93 false _let_40 false _let_50 true _let_97 false _let_95 false _let_98)) :args (_let_94 true _let_92 false _let_93)) :args (_let_91 true _let_82 true _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args _let_90) :args _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_17 _let_18 _let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_87))) _let_88 :args (_let_86 false _let_13)) :args (_let_84 false _let_86)) :args (_let_85 true _let_83 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_24 false _let_14)) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_21 (not _let_31)))) _let_65 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_31 false _let_32)) :args (_let_21 false _let_29 false _let_27 false _let_31)) :args (false true _let_25 false _let_24 false _let_22 false _let_21)) :args (_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) _let_13 _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.k7_relset_2 A B C D) (tptp.k8_setfam_1 B (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A D) (tptp.k3_pua2mss1 C)))))))) true true true true true (forall ((A $$unsorted)) (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A _let_1))) (tptp.m1_subset_1 (tptp.k4_relset_2 A B C D) (tptp.k1_zfmisc_1 _let_1))))) _let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relset_2 A B))) (=> (tptp.v1_relat_1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k6_relset_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B 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))))))) true _let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k8_setfam_1 A B) _let_1)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) 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)) (exists ((B $$unsorted)) (tptp.m1_eqrel_1 B A))) (forall ((A $$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 $$unsorted)) (tptp.m2_relset_1 C A B))) _let_9 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (and _let_8 _let_7) (forall ((A $$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) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A (tptp.k1_zfmisc_1 B)))) (= (tptp.k4_relset_2 A B C D) (tptp.k9_relat_1 C D)))) _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.k6_relset_2 A B C) (tptp.k5_relset_2 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.k8_relset_2 A B C D) (tptp.k7_relset_2 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_5 (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_3 _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.34/27.54  )
% 27.34/27.54  % SZS output end Proof for SEU438+1
% 27.34/27.54  % cvc5---1.0.5 exiting
% 27.34/27.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------