TSTP Solution File: SEU437+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU437+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 1.19s 1.46s
% Output : Proof 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU437+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 20:43:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.19/1.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LrlJw4qCOL/cvc5---1.0.5_11376.p...
% 1.19/1.46 ------- get file name : TPTP file name is SEU437+1
% 1.19/1.46 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11376.smt2...
% 1.19/1.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.19/1.46 % SZS status Theorem for SEU437+1
% 1.19/1.46 % SZS output start Proof for SEU437+1
% 1.19/1.46 (
% 1.19/1.46 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k9_relat_1 C (tptp.k1_tarski B))) (tptp.r2_hidden (tptp.k4_tarski B A) C)))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (=> (tptp.r2_hidden F C) (tptp.r2_hidden D (tptp.k9_relat_1 E (tptp.k1_tarski F)))))))))))))))) (let ((_let_5 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_6 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.m1_subset_1 (tptp.k8_relset_2 A B C D) (tptp.k1_zfmisc_1 B)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_10 (not (forall ((A $$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)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski D E) (tptp.r1_tarski (tptp.k8_relset_2 A B C D) (tptp.k8_relset_2 A B C E)))))))))))) (let ((_let_11 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (tptp.k1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_13 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_12)))) (let ((_let_14 (tptp.k4_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_15 (tptp.r2_hidden _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (not _let_11))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_20 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_11))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.v1_relat_1 C))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) (let ((_let_27 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (tptp.r1_tarski _let_28 _let_27))) (let ((_let_30 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_21 _let_33 _let_31 _let_29))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1126 $$unsorted) (BOUND_VARIABLE_1124 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1124 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1126 _let_1)) (not (tptp.r1_tarski BOUND_VARIABLE_1124 BOUND_VARIABLE_1126)) (tptp.r1_tarski (tptp.k8_relset_2 A B C BOUND_VARIABLE_1124) (tptp.k8_relset_2 A B C BOUND_VARIABLE_1126))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (REFL :args (_let_36)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_40)) :args ((or _let_20 _let_36))) _let_42 :args (_let_20 true _let_36)))) (let ((_let_45 (not _let_16))) (let ((_let_46 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_13))) (let ((_let_49 (forall ((F $$unsorted)) (or (not (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.k1_tarski F))))))) (let ((_let_50 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_28))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (or _let_54 _let_35 _let_53 _let_21 _let_51))) (let ((_let_56 (forall ((A $$unsorted) (BOUND_VARIABLE_1391 $$unsorted) (BOUND_VARIABLE_1389 $$unsorted) (BOUND_VARIABLE_1387 $$unsorted) (BOUND_VARIABLE_1385 $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 BOUND_VARIABLE_1387 (tptp.k1_zfmisc_1 BOUND_VARIABLE_1385))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1391 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1389 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_1385 A)))) (= (tptp.r2_hidden BOUND_VARIABLE_1391 (tptp.k8_relset_2 BOUND_VARIABLE_1385 A BOUND_VARIABLE_1387 BOUND_VARIABLE_1389)) (forall ((F $$unsorted)) (or (not (tptp.r2_hidden F BOUND_VARIABLE_1387)) (tptp.r2_hidden BOUND_VARIABLE_1391 (tptp.k9_relat_1 BOUND_VARIABLE_1389 (tptp.k1_tarski F)))))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.r2_hidden BOUND_VARIABLE_1391 (tptp.k8_relset_2 BOUND_VARIABLE_1385 A BOUND_VARIABLE_1387 BOUND_VARIABLE_1389))))) (let ((_let_60 (tptp.m1_subset_1 _let_28 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_50))) (let ((_let_63 (or _let_62 _let_61 _let_52))) (let ((_let_64 (forall ((A $$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_65 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_27))) (let ((_let_67 (or _let_62 _let_66))) (let ((_let_68 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.r2_hidden C (tptp.k8_relset_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_69 (not _let_67))) (let ((_let_70 (= _let_29 _let_68))) (let ((_let_71 (not _let_68))) (let ((_let_72 (forall ((A $$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_73 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 ((tptp.r1_tarski A B)))) (let ((_let_76 (_let_71))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_76)) :args _let_76)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_68))) (REFL :args (_let_69)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_29 _let_71 (not _let_70)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 4)) _let_42 :args ((not _let_29) true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_28 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_70 false _let_72)) :args (_let_71 true _let_29 false _let_70)) :args (_let_69 true _let_68)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_50))) :args _let_40)) :args ((or _let_50 _let_67))) _let_77 :args (_let_50 true _let_67)))) (let ((_let_79 (or _let_35 _let_21 _let_60))) (let ((_let_80 (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_81 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_40)) :args ((or _let_34 _let_36))) _let_42 :args (_let_34 true _let_36)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_35 _let_21 _let_60 (not _let_79)))) _let_82 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :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 ((tptp.k8_relset_2 A B C D)))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_60 false _let_34 false _let_20 false _let_79)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_61 _let_62 _let_52 (not _let_63)))) _let_83 _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden A B) false)) (tptp.k1_zfmisc_1 C)))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_52 false _let_60 false _let_50 false _let_63)))) (let ((_let_85 (not _let_54))) (let ((_let_86 (or _let_62 _let_61 _let_85))) (let ((_let_87 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (not (tptp.v1_xboole_0 C)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_61 _let_85 _let_62 (not _let_86)))) _let_83 _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) false)) (not (= (tptp.r2_hidden A B) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_85 false _let_60 false _let_50 false _let_86)))) (let ((_let_90 (_let_49))) (let ((_let_91 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12)))) (let ((_let_92 (or _let_47 _let_91))) (let ((_let_93 (forall ((F $$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_94 (not _let_92))) (let ((_let_95 (= _let_66 _let_93))) (let ((_let_96 (not _let_93))) (let ((_let_97 (or _let_54 _let_35 _let_53 _let_33 _let_95))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_40)) :args ((or _let_32 _let_36))) _let_42 :args (_let_32 true _let_36)))) (let ((_let_99 (_let_96))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_93))) (REFL :args (_let_94)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_66 _let_96 (not _let_95)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_67 1)) _let_77 :args ((not _let_66) true _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_35 _let_33 _let_54 _let_53 _let_95 (not _let_97)))) _let_82 _let_98 _let_89 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :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_59)) :args _let_58)) _let_57 :args (_let_97 false _let_56)) :args (_let_95 false _let_34 false _let_32 true _let_54 false _let_52 false _let_97)) :args (_let_96 true _let_66 false _let_95)) :args (_let_94 true _let_93)))) (let ((_let_101 (tptp.r2_hidden _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_102 (not _let_15))) (let ((_let_103 (or _let_102 _let_101))) (let ((_let_104 (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_105 (= _let_30 _let_104))) (let ((_let_106 (_let_104))) (let ((_let_107 (= _let_91 _let_101))) (let ((_let_108 (not _let_101))) (let ((_let_109 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_107))) (let ((_let_112 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.v1_relat_1 C)) (= (tptp.r2_hidden A (tptp.k9_relat_1 C (tptp.k1_tarski B))) (tptp.r2_hidden (tptp.k4_tarski B A) C)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.r2_hidden A (tptp.k9_relat_1 C (tptp.k1_tarski B)))))) (let ((_let_116 (or _let_33 _let_109))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_114))) _let_113 :args (_let_18 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_16)) :args ((or _let_15 (not _let_13) _let_45))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_101 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_107)) :args ((or _let_91 _let_108 (not _let_107)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_92 1)) _let_100 :args ((not _let_91) true _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_110 _let_107 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_33 _let_109 (not _let_116)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_116 false _let_23)) :args (_let_109 false _let_32 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_107 false _let_109 false _let_111)) :args (_let_108 true _let_91 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) true))))) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_105)) :args ((or _let_31 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_40)) :args ((or _let_30 _let_36))) _let_42 :args (_let_30 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_105 false _let_72)) :args (_let_104 false _let_30 false _let_105)) :args (_let_103 false _let_104)) :args (_let_102 true _let_101 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_13 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 0)) (CONG (REFL :args (_let_92)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_40)) :args ((or _let_46 _let_92))) _let_100 :args (_let_46 true _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_62 _let_49 (not _let_51)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_35 _let_21 _let_54 _let_53 _let_51 (not _let_55)))) _let_82 _let_44 _let_89 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :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_59)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_51 false _let_34 false _let_20 true _let_54 false _let_52 false _let_55)) :args (_let_49 false _let_50 false _let_51)) :args (_let_48 false _let_49)) :args (_let_13 false _let_46 false _let_48)) :args (_let_45 true _let_15 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_11 (not _let_22)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_22 false _let_23)) :args (_let_11 false _let_20 false _let_22)) :args (false false _let_18 true _let_16 false _let_11)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.k7_relset_2 A B C D) (tptp.k8_setfam_1 B (tptp.k4_relset_2 (tptp.k1_zfmisc_1 A) B (tptp.k6_relset_2 B A D) (tptp.k3_pua2mss1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true true true true true (forall ((A $$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))))) true (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 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (let ((_let_2 (tptp.k1_zfmisc_1 B))) (let ((_let_3 (tptp.k6_relset_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 B A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true _let_7 (forall ((A $$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))) (and _let_6 _let_5 (tptp.v3_relat_1 tptp.k1_xboole_0)) (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)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (and _let_6 _let_5) (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))))) (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)))) (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)) (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 (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)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.19/1.47 )
% 1.19/1.47 % SZS output end Proof for SEU437+1
% 1.19/1.47 % cvc5---1.0.5 exiting
% 1.19/1.47 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------