%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : TOP029+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 05:54:40 EDT 2023

% Result   : Theorem 64.72s 64.99s
% Output   : Proof 64.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : TOP029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 00:17:08 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 64.72/64.99  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kVidozQL1j/cvc5---1.0.5_9137.p...
% 64.72/64.99  ------- get file name : TPTP file name is TOP029+1
% 64.72/64.99  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9137.smt2...
% 64.72/64.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 64.72/64.99  --- Run --no-e-matching --full-saturate-quant at 5...
% 64.72/64.99  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 64.72/64.99  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 64.72/64.99  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 64.72/64.99  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 64.72/64.99  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 64.72/64.99  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 64.72/64.99  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 64.72/64.99  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 64.72/64.99  --- Run --relevant-triggers --full-saturate-quant at 5...
% 64.72/64.99  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 64.72/64.99  % SZS status Theorem for TOP029+1
% 64.72/64.99  % SZS output start Proof for TOP029+1
% 64.72/64.99  (
% 64.72/64.99  (let ((_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_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski B C) (tptp.v1_tsp_2 C A))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 B A)))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_pre_topc C A) (= (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_pre_topc B C)))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m2_tsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (= (tptp.v1_tsp_1 C A) (tptp.v2_t_0topsp B))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.v1_tsp_2 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v1_pre_topc C) (tptp.m2_tsp_1 C A)) (not (and (tptp.v2_tsp_2 C A) (= B (tptp.u1_struct_0 C)))))))))))))) (let ((_let_6 (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_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.m1_subset_1 (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.l1_pre_topc B))))))) (let ((_let_9 (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_t_0topsp B) (tptp.m2_tsp_1 B A)) (exists ((C $$unsorted)) (and (tptp.v1_pre_topc C) (tptp.m2_tsp_1 C A) (tptp.m2_tsp_1 B C) (tptp.v2_tsp_2 C A)))))))))) (let ((_let_10 (io_tptp.u1_struct_0_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_11 (io_tptp.r1_tarski_24 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178))) (let ((_let_12 (io_tptp.u1_struct_0_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178 _let_12))) (let ((_let_14 (io_tptp.r1_tarski_24 _let_10 _let_12))) (let ((_let_15 (io_tptp.v1_tsp_2_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_11))) (let ((_let_18 (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (let ((_let_19 (io_tptp.m1_subset_1_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178 _let_18))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_17 _let_16))) (let ((_let_22 (forall ((b_C it_20_$$unsorted)) (or (not (io_tptp.m1_subset_1_7 b_C (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (not (io_tptp.r1_tarski_24 (io_tptp.u1_struct_0_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) b_C)) (not (io_tptp.v1_tsp_2_25 b_C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (io_tptp.v1_tsp_1_26 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_26 (not _let_25))) (let ((_let_27 (io_tptp.m1_subset_1_7 _let_10 _let_18))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_34 (or _let_33 _let_32 _let_30 _let_28 _let_26 _let_24))) (let ((_let_35 (forall ((A $$unsorted) (b_BOUND_VARIABLE_3967 it_20_$$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (io_tptp.m1_subset_1_7 b_BOUND_VARIABLE_3967 (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 A)))) (not (io_tptp.v1_tsp_1_26 b_BOUND_VARIABLE_3967 A)) (not (forall ((b_C it_20_$$unsorted)) (or (not (io_tptp.m1_subset_1_7 b_C (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 A)))) (not (io_tptp.r1_tarski_24 b_BOUND_VARIABLE_3967 b_C)) (not (io_tptp.v1_tsp_2_25 b_C A))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3967 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3967 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_1 BOUND_VARIABLE_3967 A)) (not (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.r1_tarski BOUND_VARIABLE_3967 C)) (not (tptp.v1_tsp_2 C A))))))) _let_35))))))) (let ((_let_37 (tptp.v2_t_0topsp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_38 (= _let_37 _let_25))) (let ((_let_39 (tptp.m2_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_42 (or _let_33 _let_30 _let_41 _let_40 _let_28 _let_38))) (let ((_let_43 (forall ((A $$unsorted) (BOUND_VARIABLE_3808 $$unsorted)) (let ((_let_1 (io_tptp.u1_struct_0_2 BOUND_VARIABLE_3808))) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_3808) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3808 A)) (not (io_tptp.m1_subset_1_7 _let_1 (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 A)))) (= (tptp.v2_t_0topsp BOUND_VARIABLE_3808) (io_tptp.v1_tsp_1_26 _let_1 A))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3808 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3808))) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_3808) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3808 A)) (not (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v2_t_0topsp BOUND_VARIABLE_3808) (tptp.v1_tsp_1 _let_1 A))))) _let_43))))))) (let ((_let_45 (or _let_33 _let_30 _let_40 _let_27))) (let ((_let_46 (forall ((A $$unsorted) (BOUND_VARIABLE_3307 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3307 A)) (io_tptp.m1_subset_1_7 (io_tptp.u1_struct_0_2 BOUND_VARIABLE_3307) (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 A))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3307 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3307 A)) (tptp.m1_subset_1 (tptp.u1_struct_0 BOUND_VARIABLE_3307) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) _let_46))))))) (let ((_let_48 (forall ((C $$unsorted)) (or (not (tptp.v1_pre_topc C)) (not (tptp.m2_tsp_1 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (tptp.m2_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 C)) (not (tptp.v2_tsp_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_37))) (let ((_let_51 (or _let_33 _let_32 _let_30 _let_41 _let_50 _let_40 _let_49))) (let ((_let_52 (forall ((A $$unsorted) (BOUND_VARIABLE_2193 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_2193) (not (tptp.v2_t_0topsp BOUND_VARIABLE_2193)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_2193 A)) (not (forall ((C $$unsorted)) (or (not (tptp.v1_pre_topc C)) (not (tptp.m2_tsp_1 C A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_2193 C)) (not (tptp.v2_tsp_2 C A))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 5)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_55)) :args ((or _let_39 _let_51))) _let_57 :args (_let_39 true _let_51)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_55)) :args ((or _let_29 _let_51))) _let_57 :args (_let_29 true _let_51)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 0)) _let_57 :args ((not _let_33) true _let_51)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_33 _let_30 _let_40 _let_27 (not _let_45)))) _let_61 _let_60 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_tsp_1 BOUND_VARIABLE_3307 A) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_27 true _let_33 false _let_29 false _let_39 false _let_45)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_55)) :args ((or _let_31 _let_51))) _let_57 :args (_let_31 true _let_51)))) (let ((_let_64 (_let_24))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_32 _let_30 _let_28 _let_26 _let_24 (not _let_34)))) _let_61 _let_63 _let_60 _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_50 _let_25 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 4)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_37))) :args _let_55)) :args ((or _let_37 _let_51))) _let_57 :args (_let_37 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_33 _let_30 _let_41 _let_40 _let_28 _let_38 (not _let_42)))) _let_61 _let_60 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 3)) _let_57 :args ((not _let_41) true _let_51)) _let_59 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_tsp_1 BOUND_VARIABLE_3808 A) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_38 true _let_33 false _let_29 true _let_41 false _let_39 false _let_27 false _let_42)) :args (_let_25 false _let_37 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.v1_tsp_1_26 b_BOUND_VARIABLE_3967 A) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_24 true _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_34)) :args (_let_23 true _let_22)))) (let ((_let_66 (REFL :args (_let_21)))) (let ((_let_67 (not _let_13))) (let ((_let_68 (tptp.v2_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.m2_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.v1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183))) (let ((_let_75 (or _let_74 _let_73 _let_71 _let_69 _let_67))) (let ((_let_76 (forall ((C $$unsorted)) (or (tptp.v3_struct_0 C) (not (tptp.v1_pre_topc C)) (not (tptp.m2_tsp_1 C 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(_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3754 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v1_xboole_0 BOUND_VARIABLE_3754) (not (tptp.m1_subset_1 BOUND_VARIABLE_3754 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 BOUND_VARIABLE_3754 A)) (not (forall ((C $$unsorted)) (or (tptp.v3_struct_0 C) (not (tptp.v1_pre_topc C)) (not (tptp.m2_tsp_1 C A)) (not (tptp.v2_tsp_2 C A)) (not (= (tptp.u1_struct_0 C) BOUND_VARIABLE_3754))))))) _let_81))))))) (let ((_let_83 (not _let_79))) (let ((_let_84 (or _let_33 _let_32 _let_30 _let_83 _let_20 _let_16))) (let ((_let_85 (forall ((A $$unsorted) (b_BOUND_VARIABLE_3905 it_20_$$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (io_tptp.v1_xboole_0_17 b_BOUND_VARIABLE_3905)) (not (io_tptp.m1_subset_1_7 b_BOUND_VARIABLE_3905 (io_tptp.k1_zfmisc_1_18 (io_tptp.u1_struct_0_2 A)))) (not (io_tptp.v1_tsp_2_25 b_BOUND_VARIABLE_3905 A)))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3905 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.v1_xboole_0 BOUND_VARIABLE_3905)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3905 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 BOUND_VARIABLE_3905 A)))) _let_85))))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_55)) :args ((or _let_15 _let_21))) _let_65 :args (_let_15 true _let_21)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_55)) :args ((or _let_19 _let_21))) _let_65 :args (_let_19 true _let_21)))) (let ((_let_89 (_let_78))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89) (REWRITE :args ((=> _let_78 (not (or _let_74 _let_73 _let_71 _let_69 (not (= _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_76))) (REFL :args (_let_77)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_33 _let_32 _let_30 _let_20 _let_16 _let_79 _let_78 (not _let_80)))) _let_61 _let_63 _let_60 _let_88 _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_33 _let_32 _let_30 _let_20 _let_16 _let_83 (not _let_84)))) _let_61 _let_63 _let_60 _let_88 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_83 true _let_33 false _let_31 false _let_29 false _let_19 false _let_15 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_178 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.v1_tsp_2_25 b_BOUND_VARIABLE_3754 A) false))))) :args (_let_81)))) _let_82 :args (_let_80 false _let_81)) :args (_let_78 true _let_33 false _let_31 false _let_29 false _let_19 false _let_15 true _let_79 false _let_80)) :args (_let_77 true _let_76)))) (let ((_let_91 (REFL :args (_let_75)))) (let ((_let_92 (tptp.m1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183))) (let ((_let_93 (= _let_92 _let_14))) (let ((_let_94 (not _let_14))) (let ((_let_95 (tptp.m1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.m1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_32 _let_30 _let_98 _let_96 _let_93))) (let ((_let_100 (forall ((A $$unsorted) (BOUND_VARIABLE_3873 $$unsorted) (BOUND_VARIABLE_3871 $$unsorted)) (or (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_3871 A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_3873 A)) (= (tptp.m1_pre_topc BOUND_VARIABLE_3871 BOUND_VARIABLE_3873) (io_tptp.r1_tarski_24 (io_tptp.u1_struct_0_2 BOUND_VARIABLE_3871) (io_tptp.u1_struct_0_2 BOUND_VARIABLE_3873))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (BOUND_VARIABLE_3873 $$unsorted) (BOUND_VARIABLE_3871 $$unsorted)) (or (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_3871 A)) (not (tptp.m1_pre_topc 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:args (_let_11 true _let_21)) :args (false true _let_14 false _let_13 false _let_11)) :args (_let_9 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v1_pre_topc A) (= A (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)))))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$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)) (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 true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))) true _let_8 true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.l1_pre_topc B))))) (forall ((A $$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 $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m2_tsp_1 B A)))) (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)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (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)))))) _let_7 (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 $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$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))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (tptp.v2_t_0topsp A))) (exists ((A $$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 $$unsorted)) (exists ((B $$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 $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$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))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v2_tdlat_3 A)) (tptp.v2_t_0topsp A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A) (not (tptp.v1_tdlat_3 A)) (not (tptp.v2_t_0topsp 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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_t_0topsp 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.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (not (tptp.v3_realset2 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_tex_2 B A) (tptp.v2_t_0topsp B))))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (not (tptp.v2_t_0topsp A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (not (tptp.v2_t_0topsp B)))))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_5 _let_4 (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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 64.72/65.00  )
% 64.72/65.00  % SZS output end Proof for TOP029+1
% 64.72/65.00  % cvc5---1.0.5 exiting
% 64.72/65.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------