%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:04:26 EDT 2023

% Result   : Theorem 29.72s 29.93s
% Output   : Proof 29.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.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   : Thu Aug 24 06:48:31 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 29.72/29.93  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.q4uhr88IvO/cvc5---1.0.5_17300.p...
% 29.72/29.93  ------- get file name : TPTP file name is LAT363+1
% 29.72/29.93  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17300.smt2...
% 29.72/29.93  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 29.72/29.93  --- Run --no-e-matching --full-saturate-quant at 5...
% 29.72/29.93  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 29.72/29.93  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 29.72/29.93  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.72/29.93  % SZS status Theorem for LAT363+1
% 29.72/29.93  % SZS output start Proof for LAT363+1
% 29.72/29.93  (
% 29.72/29.93  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k4_pre_topc A B C D) (tptp.k9_relat_1 C D)))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.l1_pre_topc B))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_waybel18 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_waybel18 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_4) (tptp.m1_relset_1 C _let_2 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_pre_topc B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_pre_topc (tptp.k7_waybel18 A B C) B))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k4_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_waybel34 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc B (tptp.k1_yellow_2 A B C)))) (let ((_let_2 (tptp.k4_pre_topc A B C D))) (=> (and (tptp.v3_pre_topc D A) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v3_pre_topc _let_2 _let_1) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))))))))))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k8_waybel18 A B C) C))))))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k7_waybel18 A B C) (tptp.k3_pre_topc B (tptp.k1_yellow_2 A B C))))))))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_t_0topsp C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc D A) (tptp.v3_pre_topc (tptp.k4_pre_topc A B C D) B))))))))))))))) (let ((_let_12 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_waybel34 C A B) (tptp.v1_t_0topsp (tptp.k8_waybel18 A B C) A (tptp.k7_waybel18 A B C)))))))))))))) (let ((_let_13 (tptp.k3_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_yellow_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_14 (tptp.k7_waybel18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120))) (let ((_let_17 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120))) (let ((_let_20 (= _let_16 _let_19))) (let ((_let_21 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_13)))) (let ((_let_22 (tptp.m1_subset_1 _let_17 _let_21))) (let ((_let_23 (tptp.u1_struct_0 _let_14))) (let ((_let_24 (tptp.m1_subset_1 _let_19 (tptp.k1_zfmisc_1 _let_23)))) (let ((_let_25 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_25))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_25))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_32 _let_30 _let_28 _let_15))) (let ((_let_38 (forall ((A $$unsorted) (BOUND_VARIABLE_2552 $$unsorted) (BOUND_VARIABLE_2550 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_2550))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_struct_0 A)) (not (tptp.l1_pre_topc BOUND_VARIABLE_2550)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2552)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2552 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2552 _let_2 _let_1)) (= (tptp.k7_waybel18 A BOUND_VARIABLE_2550 BOUND_VARIABLE_2552) (tptp.k3_pre_topc BOUND_VARIABLE_2550 (tptp.k1_yellow_2 A BOUND_VARIABLE_2550 BOUND_VARIABLE_2552))))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_35))) (let ((_let_43 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (tptp.l1_struct_0 A))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (tptp.l1_pre_topc A) false))))) (let ((_let_47 (tptp.k8_waybel18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (tptp.v1_t_0topsp _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_49 (tptp.v2_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_54 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_55 _let_41 _let_53 _let_52 _let_34 _let_32 _let_30 _let_28 _let_50))) (let ((_let_57 (forall ((A $$unsorted) (BOUND_VARIABLE_1916 $$unsorted) (BOUND_VARIABLE_1914 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1914))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_1914) (not (tptp.v2_pre_topc BOUND_VARIABLE_1914)) (not (tptp.l1_pre_topc BOUND_VARIABLE_1914)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1916)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1916 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1916 _let_2 _let_1)) (= (tptp.v2_waybel34 BOUND_VARIABLE_1916 A BOUND_VARIABLE_1914) (tptp.v1_t_0topsp (tptp.k8_waybel18 A BOUND_VARIABLE_1914 BOUND_VARIABLE_1916) A (tptp.k7_waybel18 A BOUND_VARIABLE_1914 BOUND_VARIABLE_1916))))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_59) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_60)) :args ((or _let_40 _let_56))) _let_62 :args (_let_40 true _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_35 (not _let_42)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_35 false _let_40 false _let_42)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 8)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_60)) :args ((or _let_27 _let_56))) _let_62 :args (_let_27 true _let_56)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 7)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_60)) :args ((or _let_29 _let_56))) _let_62 :args (_let_29 true _let_56)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 6)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_60)) :args ((or _let_31 _let_56))) _let_62 :args (_let_31 true _let_56)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 5)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_60)) :args ((or _let_33 _let_56))) _let_62 :args (_let_33 true _let_56)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_34 _let_32 _let_30 _let_28 _let_36 _let_15 (not _let_37)))) _let_69 _let_68 _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_2552 (tptp.u1_struct_0 A) (tptp.u1_struct_0 BOUND_VARIABLE_2550)) false))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_15 false _let_33 false _let_31 false _let_29 false _let_27 false _let_35 false _let_37)))) (let ((_let_71 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_25))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_36 _let_74 _let_32 _let_30 _let_72 _let_18))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_struct_0 A)) (not (tptp.l1_struct_0 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_2 _let_1)) (not (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k4_pre_topc A B C D) (tptp.k9_relat_1 C D)))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.k4_pre_topc A B C D)))) (let ((_let_80 (= _let_27 _let_71))) (let ((_let_81 (_let_1))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.m2_relset_1 C A B)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_28 _let_71 (not _let_80)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_26 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_80 false _let_1)) :args (_let_71 false _let_27 false _let_80)))) (let ((_let_85 (or _let_34 _let_73))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_34 _let_73 (not _let_85)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_85 false _let_43)) :args (_let_73 false _let_33 false _let_85)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_32 _let_30 _let_36 _let_74 _let_72 _let_18 (not _let_75)))) _let_68 _let_67 _let_65 _let_86 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_18 false _let_31 false _let_29 false _let_35 false _let_73 false _let_71 false _let_75)))) (let ((_let_88 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_23))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 _let_23))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.l1_struct_0 _let_14))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_36 _let_93 _let_32 _let_91 _let_89 _let_20))) (let ((_let_95 (tptp.m1_relset_1 _let_47 _let_26 _let_23))) (let ((_let_96 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47))) (let ((_let_97 (tptp.m2_relset_1 _let_47 _let_26 _let_23))) (let ((_let_98 (= _let_97 _let_95))) (let ((_let_99 (tptp.v1_funct_2 _let_47 _let_26 _let_23))) (let ((_let_100 (tptp.v1_funct_1 _let_47))) (let ((_let_101 (and _let_100 _let_99 _let_97))) (let ((_let_102 (or _let_36 _let_53 _let_34 _let_32 _let_30 _let_72 _let_101))) (let ((_let_103 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k7_waybel18 A B C)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_waybel18 A B C))) (let ((_let_4 (tptp.u1_struct_0 B))) (or (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 B) (not (tptp.l1_pre_topc B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_2 _let_4)) (not (tptp.m1_relset_1 C _let_2 _let_4)) (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_104 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 3)) _let_62 :args ((not _let_53) true _let_56)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_53 _let_34 _let_32 _let_30 _let_36 _let_72 _let_101 (not _let_102)))) _let_105 _let_69 _let_68 _let_67 _let_65 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k8_waybel18 A B C)))) :args (_let_103))) _let_104 :args (_let_102 false _let_103)) :args (_let_101 true _let_53 false _let_33 false _let_31 false _let_29 false _let_35 false _let_71 false _let_102)))) (let ((_let_107 (not _let_101))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 2)) :args ((or _let_97 _let_107))) _let_106 :args (_let_97 false _let_101)))) (let ((_let_109 (not _let_97))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_109 _let_95 (not _let_98)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_26 _let_23 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_98 false _let_1)) :args (_let_95 false _let_97 false _let_98)))) (let ((_let_111 (or _let_36 _let_53 _let_34 _let_32 _let_30 _let_28 _let_96))) (let ((_let_112 (forall ((A $$unsorted) (BOUND_VARIABLE_2614 $$unsorted) (BOUND_VARIABLE_2612 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_2612))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_struct_0 A)) (tptp.v3_struct_0 BOUND_VARIABLE_2612) (not (tptp.l1_pre_topc BOUND_VARIABLE_2612)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2614)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2614 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2614 _let_2 _let_1)) (= BOUND_VARIABLE_2614 (tptp.k8_waybel18 A BOUND_VARIABLE_2612 BOUND_VARIABLE_2614)))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_53 _let_34 _let_32 _let_30 _let_28 _let_36 _let_96 (not _let_111)))) _let_105 _let_69 _let_68 _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 BOUND_VARIABLE_2614 (tptp.u1_struct_0 A) (tptp.u1_struct_0 BOUND_VARIABLE_2612)) false))))) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_96 true _let_53 false _let_33 false _let_31 false _let_29 false _let_27 false _let_35 false _let_111)))) (let ((_let_115 (and _let_96 _let_95))) (let ((_let_116 (ASSUME :args (_let_95)))) (let ((_let_117 (REFL :args (_let_23)))) (let ((_let_118 (REFL :args (_let_26)))) (let ((_let_119 (ASSUME :args (_let_96)))) (let ((_let_120 (SYMM (SYMM _let_119)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_119) (SCOPE (TRUE_ELIM (TRANS (CONG _let_120 _let_118 _let_117 :args (APPLY_UF tptp.m1_relset_1)) (TRUE_INTRO _let_116))) :args (_let_95 _let_96))) :args (_let_96 _let_95))) :args (true _let_115)) _let_114 _let_110 :args (_let_88 false _let_96 false _let_95)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_99 _let_107))) _let_106 :args (_let_99 false _let_101)))) (let ((_let_123 (and _let_99 _let_96))) (let ((_let_124 (_let_99 _let_96))) (let ((_let_125 (ASSUME :args (_let_99)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_119) (SCOPE (TRUE_ELIM (TRANS (CONG _let_120 _let_118 _let_117 :args (APPLY_UF tptp.v1_funct_2)) (TRUE_INTRO _let_125))) :args _let_124)) :args _let_124)) :args (true _let_123)) _let_122 _let_114 :args (_let_90 false _let_99 false _let_96)))) (let ((_let_127 (tptp.l1_pre_topc _let_14))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_92))) (let ((_let_130 (tptp.m1_pre_topc _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_34 _let_131 _let_127))) (let ((_let_133 (forall ((A $$unsorted) (BOUND_VARIABLE_2799 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_2799 A)) (tptp.l1_pre_topc BOUND_VARIABLE_2799))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (or _let_36 _let_34 _let_32 _let_30 _let_72 _let_130))) (let ((_let_136 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_struct_0 A)) (not (tptp.l1_pre_topc B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_2 _let_1)) (not (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_pre_topc (tptp.k7_waybel18 A B C) B))))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_34 _let_127 _let_131 (not _let_132)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_34 _let_32 _let_30 _let_36 _let_72 _let_130 (not _let_135)))) _let_69 _let_68 _let_67 _let_65 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_funct_2 C (tptp.u1_struct_0 A) (tptp.u1_struct_0 B)) false))))) :args (_let_136))) _let_137 :args (_let_135 false _let_136)) :args (_let_130 false _let_33 false _let_31 false _let_29 false _let_35 false _let_71 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_133))) _let_134 :args (_let_132 false _let_133)) :args (_let_127 false _let_33 false _let_130 false _let_132)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_92 (not _let_129)))) _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_129 false _let_43)) :args (_let_92 false _let_127 false _let_129)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_32 _let_36 _let_93 _let_91 _let_89 _let_20 (not _let_94)))) _let_68 _let_65 _let_139 _let_126 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78))) _let_77 :args (_let_94 false _let_76)) :args (_let_20 false _let_31 false _let_35 false _let_92 false _let_90 false _let_88 false _let_94)))) (let ((_let_141 (tptp.v3_pre_topc _let_17 _let_13))) (let ((_let_142 (and _let_141 _let_22))) (let ((_let_143 (not _let_22))) (let ((_let_144 (tptp.v3_pre_topc (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120) _let_14))) (let ((_let_145 (tptp.v3_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_146 (not _let_145))) (let ((_let_147 (tptp.k1_zfmisc_1 _let_26))) (let ((_let_148 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_120 _let_147))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_146 _let_144))) (let ((_let_151 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_waybel18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.v3_pre_topc D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.v3_pre_topc (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1 (tptp.k8_waybel18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) D) _let_1)))))) (let ((_let_152 (= _let_48 _let_151))) (let ((_let_153 (not _let_99))) (let ((_let_154 (not _let_100))) (let ((_let_155 (or _let_41 _let_128 _let_154 _let_153 _let_109 _let_152))) (let ((_let_156 (forall ((A $$unsorted) (BOUND_VARIABLE_2491 $$unsorted) (BOUND_VARIABLE_2489 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_2489))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_pre_topc A)) (not (tptp.l1_pre_topc BOUND_VARIABLE_2489)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2491)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2491 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2491 _let_2 _let_1)) (= (tptp.v1_t_0topsp BOUND_VARIABLE_2491 A BOUND_VARIABLE_2489) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v3_pre_topc D A)) (tptp.v3_pre_topc (tptp.k4_pre_topc A BOUND_VARIABLE_2489 BOUND_VARIABLE_2491 D) BOUND_VARIABLE_2489)))))))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_100 _let_107))) _let_106 :args (_let_100 false _let_101)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_41 _let_128 _let_154 _let_153 _let_109 _let_152 (not _let_155)))) _let_64 _let_138 _let_158 _let_122 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v1_t_0topsp BOUND_VARIABLE_2491 A BOUND_VARIABLE_2489)))) :args (_let_156))) _let_157 :args (_let_155 false _let_156)) :args (_let_152 false _let_40 false _let_127 false _let_100 false _let_99 false _let_97 false _let_155)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 9)) _let_62 :args ((not _let_50) true _let_56)))) (let ((_let_161 (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_yellow_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_2 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 D))) (or (not (tptp.v3_pre_topc D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.m1_subset_1 D 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(tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.v2_pre_topc B))))) (forall ((A $$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))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tops_1 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) _let_1) (and _let_1 (tptp.v3_tops_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tops_1 B A))) (let ((_let_2 (tptp.v3_pre_topc B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and _let_2 _let_1) (and (tptp.v1_xboole_0 B) _let_2 (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) _let_1)))))))) _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (tptp.v1_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k1_yellow_2 A B C) (tptp.k1_zfmisc_1 _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1)) (tptp.m1_subset_1 (tptp.k8_yellow_2 A B C) (tptp.k1_zfmisc_1 _let_1))))) true _let_4 true _let_3 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)) (=> (tptp.l1_pre_topc A) (tptp.m1_subset_1 (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) true (exists ((A $$unsorted)) (tptp.l1_pre_topc A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_pre_topc 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))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 (tptp.k9_relat_1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_pre_topc A B) (tptp.g1_pre_topc C D)) (and (= A C) (= B D)))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (tptp.v1_pre_topc A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) (tptp.v3_tops_1 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k1_yellow_2 A B C) (tptp.k2_relat_1 C)))))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1)) (= (tptp.k8_yellow_2 A B C) (tptp.k2_relat_1 C))))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.76/29.94  )
% 29.76/29.94  % SZS output end Proof for LAT363+1
% 29.76/29.94  % cvc5---1.0.5 exiting
% 29.76/29.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------