%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU432+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 16:31:42 EDT 2023

% Result   : Theorem 70.16s 70.39s
% Output   : Proof 70.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU432+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.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   : Wed Aug 23 13:05:57 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 70.16/70.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DAPHHpwd3Q/cvc5---1.0.5_14918.p...
% 70.16/70.39  ------- get file name : TPTP file name is SEU432+1
% 70.16/70.39  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14918.smt2...
% 70.16/70.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 70.16/70.39  --- Run --no-e-matching --full-saturate-quant at 5...
% 70.16/70.39  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 70.16/70.39  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 70.16/70.39  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 70.16/70.39  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 70.16/70.39  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 70.16/70.39  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 70.16/70.39  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 70.16/70.39  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 70.16/70.39  --- Run --relevant-triggers --full-saturate-quant at 5...
% 70.16/70.39  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 70.16/70.39  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 70.16/70.39  % SZS status Theorem for SEU432+1
% 70.16/70.39  % SZS output start Proof for SEU432+1
% 70.16/70.39  (
% 70.16/70.39  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A B))))))))) (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) (B $$unsorted)) (= (tptp.k3_pua2mss1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_pua2mss1 A) (tptp.k3_pua2mss1 B)))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.r1_tarski A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))))) (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.k8_relset_2 A B C D) (tptp.k7_relset_2 A B C D)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (= (tptp.k6_relset_2 A B C) (tptp.k5_relset_2 B C)))))) (let ((_let_12 (forall ((A $$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.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A (tptp.k1_zfmisc_1 B)))) (= (tptp.k4_relset_2 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_15 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_16 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_17 (forall ((A $$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_18 (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_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k6_relset_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_20 (forall ((A $$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.k5_subset_1 A B C) _let_1)))))) (let ((_let_21 (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_22 (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 ((_let_23 (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)))))))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))))) (let ((_let_28 (forall ((A $$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_29 (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 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C E) (tptp.k8_relset_2 A B D E)) (tptp.k8_relset_2 A B (tptp.k5_subset_1 A C D) E))))))))))) (let ((_let_30 (tptp.k7_relset_2 skv_2 skv_3 skv_4 skv_5))) (let ((_let_31 (tptp.k8_relset_2 skv_2 skv_3 skv_4 skv_5))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (tptp.k5_subset_1 skv_2 skv_4 skv_6))) (let ((_let_34 (tptp.k7_relset_2 skv_2 skv_3 _let_33 skv_5))) (let ((_let_35 (tptp.k8_relset_2 skv_2 skv_3 _let_33 skv_5))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (tptp.k3_pua2mss1 skv_4))) (let ((_let_38 (tptp.k6_relset_2 skv_3 skv_2 skv_5))) (let ((_let_39 (tptp.k1_zfmisc_1 skv_2))) (let ((_let_40 (tptp.k4_relset_2 _let_39 skv_3 _let_38 _let_37))) (let ((_let_41 (tptp.k8_setfam_1 skv_3 _let_40))) (let ((_let_42 (= _let_30 _let_41))) (let ((_let_43 (tptp.k3_pua2mss1 _let_33))) (let ((_let_44 (tptp.k4_relset_2 _let_39 skv_3 _let_38 _let_43))) (let ((_let_45 (tptp.k8_setfam_1 skv_3 _let_44))) (let ((_let_46 (= _let_34 _let_45))) (let ((_let_47 (tptp.m1_subset_1 _let_41 (tptp.k1_zfmisc_1 _let_45)))) (let ((_let_48 (tptp.k1_zfmisc_1 _let_35))) (let ((_let_49 (tptp.m1_subset_1 _let_31 _let_48))) (let ((_let_50 (tptp.m1_subset_1 skv_5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 skv_2 skv_3))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.m1_subset_1 skv_4 _let_39))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_32))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.k8_relset_2 A B C D) (tptp.k7_relset_2 A B C D)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.k8_relset_2 A B C D)))) (let ((_let_59 (tptp.k8_relset_2 skv_2 skv_3 skv_6 skv_5))) (let ((_let_60 (tptp.k4_subset_1 skv_3 _let_31 _let_59))) (let ((_let_61 (tptp.r1_tarski _let_60 _let_35))) (let ((_let_62 (tptp.m1_subset_1 skv_6 _let_39))) (let ((_let_63 (not _let_62))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_29)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1404 $$unsorted) (BOUND_VARIABLE_1402 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1402 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1404 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.r1_tarski (tptp.k4_subset_1 B (tptp.k8_relset_2 A B C BOUND_VARIABLE_1404) (tptp.k8_relset_2 A B BOUND_VARIABLE_1402 BOUND_VARIABLE_1404)) (tptp.k8_relset_2 A B (tptp.k5_subset_1 A C BOUND_VARIABLE_1402) BOUND_VARIABLE_1404)))))) (not (or _let_53 _let_63 _let_51 _let_61))))))))) (let ((_let_65 (NOT_NOT_ELIM (NOT_OR_ELIM _let_64 :args (2))))) (let ((_let_66 (NOT_NOT_ELIM (NOT_OR_ELIM _let_64 :args (0))))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_51 _let_32 (not _let_54)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (skv_2 skv_3 skv_4 skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_32 false _let_52 false _let_50 false _let_54)))) (let ((_let_68 (tptp.m1_subset_1 _let_33 _let_39))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_51 _let_36))) (let ((_let_71 (or _let_53 _let_63 _let_68))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (NOT_NOT_ELIM (NOT_OR_ELIM _let_64 :args (1))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_53 _let_63 _let_68 (not _let_71)))) _let_66 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (skv_2 skv_4 skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k5_subset_1 A B C)))) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_68 false _let_52 false _let_62 false _let_71)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_51 _let_69 _let_36 (not _let_70)))) _let_65 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (skv_2 skv_3 _let_33 skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_70 false _let_55)) :args (_let_36 false _let_50 false _let_68 false _let_70)))) (let ((_let_77 (or _let_53 _let_51 _let_42))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1549 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1549 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.k7_relset_2 A B C BOUND_VARIABLE_1549) (tptp.k8_setfam_1 B (tptp.k4_relset_2 _let_1 B (tptp.k6_relset_2 B A BOUND_VARIABLE_1549) (tptp.k3_pua2mss1 C))))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((tptp.k7_relset_2 A B C BOUND_VARIABLE_1549)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_53 _let_51 _let_42 (not _let_77)))) _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (skv_2 skv_3 skv_4 skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_42 false _let_52 false _let_50 false _let_77)))) (let ((_let_83 (or _let_69 _let_51 _let_46))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_51 _let_69 _let_46 (not _let_83)))) _let_65 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (skv_2 skv_3 _let_33 skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_83 false _let_78)) :args (_let_46 false _let_50 false _let_68 false _let_83)))) (let ((_let_85 (tptp.r1_tarski _let_41 _let_45))) (let ((_let_86 (= _let_85 _let_47))) (let ((_let_87 (_let_6))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.r1_tarski A B)))) (let ((_let_90 (tptp.r1_tarski _let_44 _let_40))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.k1_zfmisc_1 skv_3))) (let ((_let_93 (tptp.k1_zfmisc_1 _let_92))) (let ((_let_94 (tptp.m1_subset_1 _let_40 _let_93))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.m1_subset_1 _let_44 _let_93))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95 _let_91 _let_85))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1844 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1844 _let_1)) (not (tptp.r1_tarski B BOUND_VARIABLE_1844)) (tptp.r1_tarski (tptp.k8_setfam_1 A BOUND_VARIABLE_1844) (tptp.k8_setfam_1 A B))))))) (let ((_let_100 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(tptp.v1_relat_1 A))) _let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k1_relset_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) _let_27 (forall ((A $$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))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_setfam_1 A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (tptp.k6_setfam_1 A B))) (=> _let_2 (= _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B (tptp.k1_setfam_1 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden C D))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))) _let_26 _let_25 _let_24 _let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_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.k1_relset_2 A B C) _let_1)))) true true true true true (forall ((A $$unsorted)) (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 A) A)) true _let_22 (forall ((A $$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_21 _let_20 _let_19 (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.k6_setfam_1 A B) _let_1)))) true _let_18 (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 _let_17 (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))) (and _let_16 _let_15 (tptp.v3_relat_1 tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (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 $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (and _let_16 _let_15) (forall ((A $$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 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$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.k5_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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k1_relset_2 A B C) (tptp.k3_xboole_0 B C))))) _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k6_setfam_1 A B) (tptp.k1_setfam_1 B)))) _let_10 (forall ((A $$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_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((A $$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_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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 70.16/70.40  )
% 70.16/70.40  % SZS output end Proof for SEU432+1
% 70.16/70.40  % cvc5---1.0.5 exiting
% 70.16/70.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------