%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 05:54:39 EDT 2023

% Result   : Theorem 0.23s 0.74s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n011.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 22:59:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pbYnMjjCK0/cvc5---1.0.5_28184.p...
% 0.23/0.74  ------- get file name : TPTP file name is TOP028+1
% 0.23/0.74  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28184.smt2...
% 0.23/0.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.74  % SZS status Theorem for TOP028+1
% 0.23/0.74  % SZS output start Proof for TOP028+1
% 0.23/0.74  (
% 0.23/0.74  (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 $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_tex_2 B A))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tex_2 B A) (tptp.v1_tsp_1 B A)))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))))) (let ((_let_5 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_tsp_2 B A)))))))) (let ((_let_6 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.v1_tsp_2 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_7 (tptp.v1_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_10 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_8))) (let ((_let_13 (not _let_6))) (let ((_let_14 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (or _let_18 _let_17 _let_15 _let_13))) (let ((_let_20 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_2 B A))))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (not _let_12))) (let ((_let_28 (or _let_11 (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) _let_8))) (let ((_let_29 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 C)) (not (tptp.v1_tsp_2 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_9))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_18 _let_17 _let_15 _let_35 _let_33 _let_31))) (let ((_let_37 (forall ((A $$unsorted) (BOUND_VARIABLE_2155 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2155 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_1 BOUND_VARIABLE_2155 A)) (not (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.r1_tarski BOUND_VARIABLE_2155 C)) (not (tptp.v1_tsp_2 C A))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.v3_tex_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_18 _let_15 _let_35 _let_40 _let_32))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_2051 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2051 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v3_tex_2 BOUND_VARIABLE_2051 A)) (tptp.v1_tsp_1 BOUND_VARIABLE_2051 A))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_18 _let_17 _let_15 _let_45 _let_35 _let_39))) (let ((_let_47 (forall ((A $$unsorted) (BOUND_VARIABLE_2087 $$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_2087)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2087 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_tex_2 BOUND_VARIABLE_2087 A))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or _let_35 _let_45 (not (tptp.v1_membered SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.v2_membered SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.v3_membered SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.v4_membered SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.v5_membered SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.v2_tops_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_50 (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_membered B)) (not (tptp.v2_membered B)) (not (tptp.v3_membered B)) (not (tptp.v4_membered B)) (not (tptp.v5_membered B)) (not (tptp.v2_tops_1 B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (not _let_50))) (let ((_let_53 (or _let_15 _let_52))) (let ((_let_54 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (forall ((B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_membered B)) (not (tptp.v2_membered B)) (not (tptp.v3_membered B)) (not (tptp.v4_membered B)) (not (tptp.v5_membered B)) (not (tptp.v2_tops_1 B A))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_23)) :args ((or _let_14 _let_19))) _let_25 :args (_let_14 true _let_19)))) (let ((_let_57 (_let_52))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) (REFL :args (_let_51)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_15 _let_52 (not _let_53)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_pre_topc A) false))))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_14 false _let_53)) :args (_let_51 true _let_50)))) (let ((_let_59 (REFL :args (_let_49)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_23)) :args ((or _let_34 _let_49))) _let_58 :args (_let_34 true _let_49)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_23)) :args ((or _let_16 _let_19))) _let_25 :args (_let_16 true _let_19)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 0)) _let_25 :args ((not _let_18) true _let_19)))) (let ((_let_63 (_let_31))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_29))) (REFL :args (_let_30)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_18 _let_17 _let_15 _let_35 _let_33 _let_31 (not _let_36)))) _let_62 _let_61 _let_56 _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_18 _let_15 _let_35 _let_40 _let_32 (not _let_41)))) _let_62 _let_56 _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_18 _let_17 _let_15 _let_35 _let_45 _let_39 (not _let_46)))) _let_62 _let_61 _let_56 _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_23)) :args ((or _let_44 _let_49))) _let_58 :args (_let_44 true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_2087 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_47))) _let_48 :args (_let_46 false _let_47)) :args (_let_39 true _let_18 false _let_16 false _let_14 false _let_34 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_2051 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_32 true _let_18 false _let_14 false _let_34 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_2155 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_31 true _let_18 false _let_16 false _let_14 false _let_34 false _let_32 false _let_36)) :args (_let_30 true _let_29)))) (let ((_let_65 (REFL :args (_let_28)))) (let ((_let_66 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 B _let_9) false))))) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_8 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_23)) :args ((or _let_10 _let_28))) _let_64 :args (_let_10 true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_23)) :args ((or _let_7 _let_28))) _let_64 :args (_let_7 true _let_28)) :args (_let_27 false _let_10 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 3)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_6))) :args _let_23)) :args ((or _let_6 _let_19))) _let_25 :args (_let_6 true _let_19)) :args (false true _let_12 false _let_6)) :args (_let_5 (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)) (=> (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)) (=> (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)) (=> (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)) (=> (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 $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tops_1 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) _let_1) (and _let_1 (tptp.v3_tops_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tops_1 B A))) (let ((_let_2 (tptp.v3_pre_topc B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and _let_2 _let_1) (and (tptp.v1_xboole_0 B) _let_2 (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))) true true true (exists ((A $$unsorted)) (tptp.l1_pre_topc A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v4_pre_topc _let_1 A) (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))))) (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 $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (exists ((A $$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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) _let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) (tptp.v3_tops_1 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.75  )
% 0.23/0.75  % SZS output end Proof for TOP028+1
% 0.23/0.75  % cvc5---1.0.5 exiting
% 0.23/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------