%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : TOP033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 : Fri Sep  1 05:54:42 EDT 2023

% Result   : Theorem 6.05s 6.29s
% Output   : Proof 6.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : TOP033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n028.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   : Sat Aug 26 23:33:07 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 6.05/6.29  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7Qv8zni68S/cvc5---1.0.5_13523.p...
% 6.05/6.29  ------- get file name : TPTP file name is TOP033+1
% 6.05/6.29  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13523.smt2...
% 6.05/6.29  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.05/6.29  % SZS status Theorem for TOP033+1
% 6.05/6.29  % SZS output start Proof for TOP033+1
% 6.05/6.29  (
% 6.05/6.29  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C _let_1) (= (tptp.k2_tex_4 A C) _let_1))))))))))) (let ((_let_4 (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_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k5_subset_1 _let_1 D (tptp.k4_tex_4 A E)) (tptp.k1_struct_0 B (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E))))))) (tptp.v3_borsuk_1 C A B)))))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.m1_subset_1 (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tsp_2 C A) (tptp.v2_tsp_2 B A))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (= (tptp.m2_tsp_1 B A) (tptp.m1_pre_topc B A))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k4_tex_4 A B) (tptp.k2_tex_4 A B)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.l1_pre_topc B))))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_tex_4 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tsp_1 C A) (tptp.r1_tarski B C)) (= B C)))))))))))) (let ((_let_17 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (tptp.r2_hidden C B) (= (tptp.k5_subset_1 _let_1 B (tptp.k4_tex_4 A C)) (tptp.k1_struct_0 A C))))))))))))) (let ((_let_18 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m2_tsp_1 B A)) (forall ((C $$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.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k4_tex_4 A D))))) (tptp.v3_borsuk_1 C A B))))))))))))) (let ((_let_19 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.k8_funct_2 _let_20 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_22 (tptp.k1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21))) (let ((_let_23 (tptp.k4_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_24 (= (tptp.k5_subset_1 _let_20 _let_19 _let_23) _let_22))) (let ((_let_25 (tptp.k2_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_26 (= _let_23 _let_25))) (let ((_let_27 (tptp.k1_tarski _let_21))) (let ((_let_28 (= _let_22 _let_27))) (let ((_let_29 (tptp.k2_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_30 (= _let_25 _let_29))) (let ((_let_31 (tptp.k1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_32 (= _let_27 _let_31))) (let ((_let_33 (tptp.k4_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_34 (= _let_29 _let_33))) (let ((_let_35 (= _let_31 (tptp.k5_subset_1 _let_20 _let_19 _let_33)))) (let ((_let_36 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_20))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_24))) (let ((_let_39 (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_2)) (= (tptp.k5_subset_1 _let_2 _let_1 (tptp.k4_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E)) (tptp.k1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k8_funct_2 _let_2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 E))))))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (tptp.v3_borsuk_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20 _let_19))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v5_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20 _let_19))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.k1_zfmisc_1 _let_20))) (let ((_let_52 (tptp.m1_subset_1 _let_19 _let_51))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.m2_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v2_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_59 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (or _let_63 _let_62 _let_60 _let_58 _let_57 _let_55 _let_53 _let_50 _let_48 _let_46 _let_44 _let_42 _let_41))) (let ((_let_65 (forall ((A $$unsorted) (BOUND_VARIABLE_4137 $$unsorted) (BOUND_VARIABLE_4135 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_4135))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_4135) (not (tptp.v2_tsp_2 BOUND_VARIABLE_4135 A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_4135 A)) (not (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v1_funct_1 BOUND_VARIABLE_4137)) (not (tptp.v1_funct_2 BOUND_VARIABLE_4137 _let_2 _let_1)) (not (tptp.v5_pre_topc BOUND_VARIABLE_4137 A BOUND_VARIABLE_4135)) (not (tptp.m2_relset_1 BOUND_VARIABLE_4137 _let_2 _let_1)) (tptp.v3_borsuk_1 BOUND_VARIABLE_4137 A BOUND_VARIABLE_4135) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_4135))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 E _let_2)) (= (tptp.k5_subset_1 _let_2 _let_1 (tptp.k4_tex_4 A E)) (tptp.k1_struct_0 BOUND_VARIABLE_4135 (tptp.k8_funct_2 _let_2 _let_1 BOUND_VARIABLE_4137 E)))))))))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (tptp.m1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_60 _let_68 _let_52))) (let ((_let_70 (forall ((A $$unsorted) (BOUND_VARIABLE_4028 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_4028 A)) (tptp.m1_subset_1 (tptp.u1_struct_0 BOUND_VARIABLE_4028) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (= _let_54 _let_67))) (let ((_let_73 (or _let_60 _let_72))) (let ((_let_74 (forall ((A $$unsorted) (BOUND_VARIABLE_3960 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (= (tptp.m2_tsp_1 BOUND_VARIABLE_3960 A) (tptp.m1_pre_topc BOUND_VARIABLE_3960 A)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 D _let_1)) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 D) (tptp.k4_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 D))))))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_63 _let_62 _let_60 _let_58 _let_57 _let_55 _let_50 _let_48 _let_46 _let_44 _let_77 _let_42))) (let ((_let_79 (forall ((A $$unsorted) (BOUND_VARIABLE_2423 $$unsorted) (BOUND_VARIABLE_2421 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_2421))) (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_2421) (not (tptp.v2_tsp_2 BOUND_VARIABLE_2421 A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_2421 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_2423)) (not (tptp.v1_funct_2 BOUND_VARIABLE_2423 _let_2 _let_1)) (not (tptp.v5_pre_topc BOUND_VARIABLE_2423 A BOUND_VARIABLE_2421)) (not (tptp.m2_relset_1 BOUND_VARIABLE_2423 _let_2 _let_1)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 D _let_1)) (tptp.r2_hidden (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 BOUND_VARIABLE_2421) BOUND_VARIABLE_2423 D) (tptp.k4_tex_4 A D)))))) (tptp.v3_borsuk_1 BOUND_VARIABLE_2423 A BOUND_VARIABLE_2421))))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (or))) (let ((_let_83 (not _let_79))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_81) :args (_let_83))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_79))) (REFL :args (_let_80)) :args _let_82)) _let_81 :args (_let_80 true _let_79)))) (let ((_let_85 (REFL :args (_let_78)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 2)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_82)) :args ((or _let_59 _let_78))) _let_84 :args (_let_59 true _let_78)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 5)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_82)) :args ((or _let_54 _let_78))) _let_84 :args (_let_54 true _let_78)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_60 _let_68 _let_52 (not _let_69)))) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_55 _let_67 (not _let_72)))) _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_60 _let_72 (not _let_73)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_tsp_1 BOUND_VARIABLE_3960 A)))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_72 false _let_59 false _let_73)) :args (_let_67 false _let_54 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_pre_topc BOUND_VARIABLE_4028 A) false))))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_52 false _let_59 false _let_67 false _let_69)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 9)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_82)) :args ((or _let_43 _let_78))) _let_84 :args (_let_43 true _let_78)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 7)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_82)) :args ((or _let_47 _let_78))) _let_84 :args (_let_47 true _let_78)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 6)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_82)) :args ((or _let_49 _let_78))) _let_84 :args (_let_49 true _let_78)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 4)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_82)) :args ((or _let_56 _let_78))) _let_84 :args (_let_56 true _let_78)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 3)) _let_84 :args ((not _let_58) true _let_78)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_82)) :args ((or _let_61 _let_78))) _let_84 :args (_let_61 true _let_78)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 0)) _let_84 :args ((not _let_63) true _let_78)))) (let ((_let_96 (_let_41))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 _let_60 _let_58 _let_57 _let_55 _let_50 _let_48 _let_46 _let_44 _let_42 _let_53 _let_41 (not _let_64)))) _let_95 _let_94 _let_86 _let_93 _let_92 _let_87 _let_91 _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 8)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_82)) :args ((or _let_45 _let_78))) _let_84 :args (_let_45 true _let_78)) _let_89 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 11)) _let_84 :args ((not _let_42) true _let_78)) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :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_4137 (tptp.u1_struct_0 A) (tptp.u1_struct_0 BOUND_VARIABLE_4135)) false))))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_41 true _let_63 false _let_61 false _let_59 true _let_58 false _let_56 false _let_54 false _let_49 false _let_47 false _let_45 false _let_43 true _let_42 false _let_52 false _let_64)) :args (_let_40 true _let_39)))) (let ((_let_98 (or _let_63 _let_62 _let_60 _let_37 _let_26))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k4_tex_4 A B) (tptp.k2_tex_4 A B)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((not (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) false))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_82)) :args ((or _let_36 _let_38))) _let_97 :args (_let_36 true _let_38)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_63 _let_62 _let_60 _let_37 _let_26 (not _let_98)))) _let_95 _let_94 _let_86 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_26 true _let_63 false _let_61 false _let_59 false _let_36 false _let_98)))) (let ((_let_105 (tptp.m1_subset_1 _let_21 _let_19))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_58 _let_108 _let_106 _let_28))) (let ((_let_110 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 ((not (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) false))))) (let ((_let_114 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20 _let_19))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.v1_xboole_0 _let_20))) (let ((_let_117 (or _let_116 _let_50 _let_48 _let_115 _let_37 _let_105))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C A B)) (not (tptp.m1_relset_1 C A B)) (not (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (= _let_43 _let_114))) (let ((_let_121 (_let_8))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (not _let_116))) (let ((_let_124 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_63 _let_125 _let_123))) (let ((_let_127 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((not (= (tptp.v3_struct_0 A) true))))) (let ((_let_131 (or _let_60 _let_124))) (let ((_let_132 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (tptp.l1_struct_0 A))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((not (= (tptp.l1_pre_topc A) false))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_60 _let_124 (not _let_131)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_131 false _let_132)) :args (_let_124 false _let_59 false _let_131)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_50 _let_48 _let_116 _let_115 _let_37 _let_105 (not _let_117)))) _let_91 _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_63 _let_125 _let_123 (not _let_126)))) _let_95 _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_126 false _let_127)) :args (_let_123 true _let_63 false _let_124 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_120)) :args ((or _let_44 _let_114 (not _let_120)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_20 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_121)) _let_122 :args (_let_120 false _let_8)) :args (_let_114 false _let_43 false _let_120)) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_20 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k8_funct_2 A B C D)))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_105 false _let_49 false _let_47 true _let_116 false _let_114 false _let_36 false _let_117)))) (let ((_let_138 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_107))) (let ((_let_141 (or _let_60 _let_55 _let_138))) (let ((_let_142 (forall ((A $$unsorted) (BOUND_VARIABLE_3597 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3597 A)) (tptp.l1_pre_topc BOUND_VARIABLE_3597))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_107 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_60 _let_55 _let_138 (not _let_141)))) _let_86 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_tsp_1 BOUND_VARIABLE_3597 A) false))))) :args (_let_142))) _let_143 :args (_let_141 false _let_142)) :args (_let_138 false _let_59 false _let_54 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_140 false _let_132)) :args (_let_107 false _let_138 false _let_140)))) (let ((_let_145 (tptp.r2_hidden _let_21 _let_25))) (let ((_let_146 (= _let_145 _let_30))) (let ((_let_147 (tptp.m1_subset_1 _let_21 _let_20))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_63 _let_60 _let_37 _let_148 _let_146))) (let ((_let_150 (forall ((A $$unsorted) (BOUND_VARIABLE_4205 $$unsorted) (BOUND_VARIABLE_4203 $$unsorted)) (let ((_let_1 (tptp.k2_tex_4 A BOUND_VARIABLE_4203))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_4203 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_4205 _let_2)) (= (tptp.r2_hidden BOUND_VARIABLE_4205 _let_1) (= _let_1 (tptp.k2_tex_4 A BOUND_VARIABLE_4205))))))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (tptp.m1_subset_1 _let_23 _let_51))) (let ((_let_153 (not _let_152))) (let ((_let_154 (tptp.r2_hidden _let_21 _let_23))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_153 _let_147))) (let ((_let_157 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden A B)) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (or _let_37 _let_154))) (let ((_let_160 (_let_76))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_37 _let_154 (not _let_159)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_160) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 D _let_20) false))))) :args _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 10)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_82)) :args ((or _let_76 _let_78))) _let_84 :args (_let_76 true _let_78)) :args (_let_159 false _let_76)) :args (_let_154 false _let_36 false _let_159)))) (let ((_let_162 (and (not (tptp.v1_xboole_0 _let_23)) _let_152))) (let ((_let_163 (or _let_63 _let_62 _let_60 _let_37 _let_162))) (let ((_let_164 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_tex_4 A B))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 B _let_1)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))))))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_153 _let_155 _let_147 (not _let_156)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_162 1)) :args ((or _let_152 (not _let_162)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_63 _let_62 _let_60 _let_37 _let_162 (not _let_163)))) _let_95 _let_94 _let_86 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) false))))) :args (_let_164))) _let_165 :args (_let_163 false _let_164)) :args (_let_162 true _let_63 false _let_61 false _let_59 false _let_36 false _let_163)) :args (_let_152 false _let_162)) _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_21 _let_23 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden A B) false)) (tptp.k1_zfmisc_1 C)))) :args (_let_157))) _let_158 :args (_let_156 false _let_157)) :args (_let_147 false _let_152 false _let_154 false _let_156)))) (let ((_let_167 (and _let_26 _let_154))) (let ((_let_168 (ASSUME :args (_let_154)))) (let ((_let_169 (ASSUME :args (_let_26)))) (let ((_let_170 (SYMM (SYMM _let_169)))) (let ((_let_171 (or _let_63 _let_125 _let_148 _let_32))) (let ((_let_172 (or _let_63 _let_62 _let_60 _let_148 _let_34))) (let ((_let_173 (tptp.r2_hidden _let_21 _let_19))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_148 _let_174 _let_35))) (let ((_let_176 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_2 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C _let_2)) (not (tptp.r2_hidden C _let_1)) (= (tptp.k1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) (tptp.k5_subset_1 _let_2 _let_1 (tptp.k4_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))))))))) (let ((_let_177 (tptp.v1_tsp_1 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_178 (= _let_177 _let_176))) (let ((_let_179 (or _let_63 _let_62 _let_60 _let_53 _let_178))) (let ((_let_180 (forall ((A $$unsorted) (BOUND_VARIABLE_3447 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3447 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tsp_1 BOUND_VARIABLE_3447 A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_hidden C BOUND_VARIABLE_3447)) (= (tptp.k1_struct_0 A C) (tptp.k5_subset_1 _let_1 BOUND_VARIABLE_3447 (tptp.k4_tex_4 A C))))))))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (and _let_177 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.v1_tsp_1 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.r1_tarski _let_1 C)) (= C _let_1))))))) (let ((_let_183 (tptp.v1_tsp_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_184 (= _let_183 _let_182))) (let ((_let_185 (or _let_60 _let_53 _let_184))) (let ((_let_186 (forall ((A $$unsorted) (BOUND_VARIABLE_3497 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3497 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tsp_2 BOUND_VARIABLE_3497 A) (and (tptp.v1_tsp_1 BOUND_VARIABLE_3497 A) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_1 C A)) (not (tptp.r1_tarski BOUND_VARIABLE_3497 C)) (= C BOUND_VARIABLE_3497))))))))) (let ((_let_187 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_188 (= _let_56 _let_183))) (let ((_let_189 (or _let_63 _let_60 _let_55 _let_53 _let_188))) (let ((_let_190 (forall ((A $$unsorted) (BOUND_VARIABLE_3999 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3999))) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3999 A)) (not (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_tsp_2 BOUND_VARIABLE_3999 A) (tptp.v1_tsp_2 _let_1 A))))))) (let ((_let_191 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_192 (_let_176))) (let ((_let_193 (tptp.v1_xboole_0 _let_19))) (let ((_let_194 (or _let_106 _let_193 _let_173))) (let ((_let_195 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_196 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_197 (not _let_193))) (let ((_let_198 (or _let_58 _let_108 _let_197))) (let ((_let_199 (and _let_26 _let_28 _let_30 _let_32 _let_34 _let_35))) (let ((_let_200 (ASSUME :args (_let_28)))) (let ((_let_201 (ASSUME :args (_let_32)))) (let ((_let_202 (ASSUME :args (_let_35)))) (let ((_let_203 (ASSUME :args (_let_34)))) (let ((_let_204 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_199)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_201 _let_202 _let_203 _let_204 _let_169) (SCOPE (TRANS (CONG (REFL :args (_let_20)) (REFL :args (_let_19)) (TRANS _let_170 (SYMM (SYMM _let_204)) (SYMM (SYMM _let_203))) :args (APPLY_UF tptp.k5_subset_1)) (SYMM _let_202) (SYMM _let_201) (SYMM _let_200)) :args (_let_28 _let_32 _let_35 _let_34 _let_30 _let_26))) :args (_let_26 _let_28 _let_30 _let_32 _let_34 _let_35))) :args (true _let_199)) :args ((or _let_24 (not _let_26) (not _let_28) (not _let_30) (not _let_32) (not _let_34) (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_148 _let_174 _let_35 (not _let_175)))) _let_166 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_193 _let_106 _let_173 (not _let_194)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_58 _let_108 _let_197 (not _let_198)))) _let_93 _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_198 false _let_127)) :args (_let_197 true _let_58 false _let_107 false _let_198)) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (_let_21 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 A B) false))))) :args (_let_195))) _let_196 :args (_let_194 false _let_195)) :args (_let_173 true _let_193 false _let_105 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_192) :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 C _let_20) false))))) :args _let_192)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_178)) :args ((or _let_176 (not _let_177) (not _let_178)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_182 0)) :args ((or _let_177 (not _let_182)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_184)) :args ((or (not _let_183) _let_182 (not _let_184)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_188)) :args ((or _let_57 _let_183 (not _let_188)))) _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_63 _let_60 _let_55 _let_53 _let_188 (not _let_189)))) _let_95 _let_86 _let_87 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_tsp_1 BOUND_VARIABLE_3999 A) false))))) :args (_let_190))) _let_191 :args (_let_189 false _let_190)) :args (_let_188 true _let_63 false _let_59 false _let_54 false _let_52 false _let_189)) :args (_let_183 false _let_56 false _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_60 _let_53 _let_184 (not _let_185)))) _let_86 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_3497 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_186))) _let_187 :args (_let_185 false _let_186)) :args (_let_184 false _let_59 false _let_52 false _let_185)) :args (_let_182 false _let_183 false _let_184)) :args (_let_177 false _let_182)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_63 _let_62 _let_60 _let_53 _let_178 (not _let_179)))) _let_95 _let_94 _let_86 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_3447 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_180))) _let_181 :args (_let_179 false _let_180)) :args (_let_178 true _let_63 false _let_61 false _let_59 false _let_52 false _let_179)) :args (_let_176 false _let_177 false _let_178)) :args (_let_175 false _let_176)) :args (_let_35 false _let_147 false _let_173 false _let_175)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_63 _let_62 _let_60 _let_148 _let_34 (not _let_172)))) _let_95 _let_94 _let_86 _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_101))) _let_100 :args (_let_172 false _let_99)) :args (_let_34 true _let_63 false _let_61 false _let_59 false _let_147 false _let_172)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_63 _let_125 _let_148 _let_32 (not _let_171)))) _let_95 _let_136 _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_112))) _let_111 :args (_let_171 false _let_110)) :args (_let_32 true _let_63 false _let_124 false _let_147 false _let_171)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or _let_30 (not _let_145) (not _let_146)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 _let_169) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_21)) (SYMM _let_170) :args (APPLY_UF tptp.r2_hidden)) (TRUE_INTRO _let_168))) :args (_let_154 _let_26))) :args (_let_26 _let_154))) :args (true _let_167)) _let_104 _let_161 :args (_let_145 false _let_26 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_63 _let_60 _let_37 _let_148 _let_146 (not _let_149)))) _let_95 _let_86 _let_103 _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING ((tptp.r2_hidden BOUND_VARIABLE_4205 (tptp.k2_tex_4 A BOUND_VARIABLE_4203))))) :args (_let_150))) _let_151 :args (_let_149 false _let_150)) :args (_let_146 true _let_63 false _let_59 false _let_36 false _let_147 false _let_149)) :args (_let_30 false _let_145 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_58 _let_108 _let_106 _let_28 (not _let_109)))) _let_93 _let_144 _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_112)) _let_111 :args (_let_109 false _let_110)) :args (_let_28 true _let_58 false _let_107 false _let_105 false _let_109)) _let_104 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_97 :args ((not _let_24) true _let_38)) :args (false false _let_35 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 true _let_24)) :args (_let_18 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_tdlat_3 A)) (not (tptp.v3_tdlat_3 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_borsuk_1 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_t_0topsp B)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_tex_2 B A))) (and _let_1 (not (tptp.v3_realset2 B)) (not (tptp.v2_t_0topsp B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_t_0topsp B)) (and _let_1 (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (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.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)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (tptp.v3_realset2 A)) (and _let_1 (tptp.v2_t_0topsp A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (tptp.v2_tsp_2 B A)) (and _let_1 (tptp.v2_t_0topsp B)))))))) (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 $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$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)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_1 (not (tptp.v2_t_0topsp A))) (and _let_1 (not (tptp.v3_realset2 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_pre_topc B A) (=> (and _let_1 (not (tptp.v2_t_0topsp B))) (and _let_1 (not (tptp.v2_tsp_2 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)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (tptp.v1_tdlat_3 A)) (and _let_2 _let_1 (tptp.v2_t_0topsp A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (tptp.v2_tsp_2 B A) (and (tptp.v2_pre_topc B) (tptp.v1_tex_3 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)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_2 _let_1 (not (tptp.v2_t_0topsp A))) (and _let_2 (not (tptp.v3_realset2 A)) _let_1 (not (tptp.v1_tdlat_3 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (not (tptp.v1_tex_3 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 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 $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_tdlat_3 A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tops_1 B A))) (let ((_let_2 (tptp.v3_pre_topc B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and _let_2 _let_1) (and (tptp.v1_xboole_0 B) _let_2 (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v2_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 (tptp.v3_realset2 A) _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v3_tdlat_3 A) (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_tsep_1 B A) (tptp.v2_tex_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 B A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_pre_topc A))) (let ((_let_2 (not (tptp.v3_realset2 A)))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v2_t_0topsp A)) (and _let_3 _let_2 _let_1 (not (tptp.v2_tdlat_3 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v1_tsep_1 B A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_t_0topsp A))) (let ((_let_2 (tptp.v3_tdlat_3 A))) (let ((_let_3 (tptp.v2_pre_topc A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_4 _let_3 _let_2 _let_1) (and _let_4 _let_3 (tptp.v1_tdlat_3 A) _let_2 (tptp.v4_tdlat_3 A) (tptp.v5_tdlat_3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v1_borsuk_1 B A) (tptp.v2_tsp_2 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tex_2 B A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v1_tdlat_3 A)))) (let ((_let_2 (tptp.v2_pre_topc A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_pre_topc A) (=> (and _let_3 _let_2 _let_1 (tptp.v3_tdlat_3 A)) (and _let_3 (not (tptp.v3_realset2 A)) _let_2 _let_1 (not (tptp.v2_t_0topsp A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (=> (and (tptp.v2_tex_2 B A) (tptp.v1_borsuk_1 B A)) (and (tptp.v2_pre_topc B) (not (tptp.v2_tsp_2 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$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.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) _let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))) _let_16 true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_tex_4 A B) (tptp.k1_zfmisc_1 _let_1))))) true true _let_15 (forall ((A $$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_14 _let_13 true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.l1_pre_topc B))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_12 true (exists ((A $$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)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_tsp_1 B A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) _let_11 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (exists ((A $$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))) (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 $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (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.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (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)) (=> (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 (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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v4_pre_topc B A))))) _let_10 _let_9 (forall ((A $$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))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))) _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_5 _let_4 _let_3 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.05/6.32  )
% 6.05/6.32  % SZS output end Proof for TOP033+1
% 6.05/6.32  % cvc5---1.0.5 exiting
% 6.05/6.32  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------