TSTP Solution File: TOP040+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : TOP040+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 05:54:47 EDT 2023
% Result : Theorem 30.19s 30.42s
% Output : Proof 30.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : TOP040+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 23:02:39 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 30.19/30.42 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9U9ROlfh8e/cvc5---1.0.5_12970.p...
% 30.19/30.42 ------- get file name : TPTP file name is TOP040+1
% 30.19/30.42 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12970.smt2...
% 30.19/30.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.19/30.42 --- Run --no-e-matching --full-saturate-quant at 5...
% 30.19/30.42 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.19/30.42 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.19/30.42 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.19/30.42 % SZS status Theorem for TOP040+1
% 30.19/30.42 % SZS output start Proof for TOP040+1
% 30.19/30.42 (
% 30.19/30.42 (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))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (or (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A B) (tptp.k3_tex_4 A C))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.m1_subset_1 (tptp.u1_struct_0 B) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 A (tptp.k3_xboole_0 B C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)))) (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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_8 (forall ((A $$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))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m2_tsp_1 B A) (tptp.l1_pre_topc B))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))))) (let ((_let_12 (forall ((A $$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 ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k4_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_tex_4 A B) _let_1)))))) (let ((_let_16 (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k4_tsp_2 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 D (tptp.k3_tex_4 A E)) (tptp.k4_pre_topc A B C E))))))))))))))))))) (let ((_let_17 (forall ((A $$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 ((_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 $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tsp_2 A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (or (tptp.v4_pre_topc C A) (tptp.v4_pre_topc D A)) (= (tptp.k4_pre_topc A B _let_1 (tptp.k5_subset_1 _let_2 C D)) (tptp.k5_subset_1 (tptp.u1_struct_0 B) (tptp.k4_pre_topc A B _let_1 C) (tptp.k4_pre_topc A B _let_1 D))))))))))))))))) (let ((_let_19 (tptp.k4_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_23 (tptp.k5_subset_1 _let_22 _let_21 _let_20))) (let ((_let_24 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.k5_subset_1 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19 _let_25))) (let ((_let_27 (= _let_26 _let_23))) (let ((_let_28 (= _let_23 (tptp.k3_xboole_0 _let_21 _let_20)))) (let ((_let_29 (tptp.k3_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (tptp.k3_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (tptp.k5_subset_1 _let_24 _let_30 _let_29))) (let ((_let_32 (tptp.k3_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (tptp.k3_xboole_0 _let_22 _let_22))) (let ((_let_35 (= _let_22 _let_34))) (let ((_let_36 (tptp.k3_xboole_0 _let_30 _let_29))) (let ((_let_37 (= _let_31 _let_36))) (let ((_let_38 (tptp.k5_subset_1 _let_24 _let_22 _let_30))) (let ((_let_39 (= _let_21 _let_38))) (let ((_let_40 (tptp.k5_subset_1 _let_24 _let_22 _let_29))) (let ((_let_41 (= _let_20 _let_40))) (let ((_let_42 (tptp.k5_subset_1 _let_24 _let_22 _let_32))) (let ((_let_43 (= _let_26 _let_42))) (let ((_let_44 (tptp.k5_subset_1 _let_22 _let_22 _let_21))) (let ((_let_45 (tptp.k5_subset_1 _let_22 _let_21 _let_22))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (tptp.k3_xboole_0 _let_22 _let_30))) (let ((_let_48 (= _let_38 _let_47))) (let ((_let_49 (tptp.k3_xboole_0 _let_22 _let_29))) (let ((_let_50 (= _let_40 _let_49))) (let ((_let_51 (= _let_42 (tptp.k3_xboole_0 _let_22 _let_32)))) (let ((_let_52 (= _let_44 (tptp.k3_xboole_0 _let_22 _let_21)))) (let ((_let_53 (tptp.k3_xboole_0 _let_21 _let_22))) (let ((_let_54 (= _let_45 _let_53))) (let ((_let_55 (= (tptp.k3_xboole_0 _let_34 _let_30) (tptp.k3_xboole_0 _let_22 _let_47)))) (let ((_let_56 (= (tptp.k3_xboole_0 _let_53 _let_29) (tptp.k3_xboole_0 _let_21 _let_49)))) (let ((_let_57 (= (tptp.k3_xboole_0 _let_47 _let_29) (tptp.k3_xboole_0 _let_22 _let_36)))) (let ((_let_58 (and (not (tptp.v4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.v4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_59 (tptp.k1_zfmisc_1 _let_24))) (let ((_let_60 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_59))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_59))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.m2_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v2_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_69 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.v2_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (or _let_73 _let_72 _let_70 _let_68 _let_67 _let_65 _let_63 _let_61 _let_58 _let_27))) (let ((_let_75 (not _let_27))) (let ((_let_76 (forall ((A $$unsorted) (BOUND_VARIABLE_2316 $$unsorted) (BOUND_VARIABLE_2314 $$unsorted) (BOUND_VARIABLE_2312 $$unsorted)) (let ((_let_1 (tptp.k4_tsp_2 A BOUND_VARIABLE_2312))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_2312) (not (tptp.v2_tsp_2 BOUND_VARIABLE_2312 A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_2312 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2316 _let_3)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2314 _let_3)) (and (not (tptp.v4_pre_topc BOUND_VARIABLE_2316 A)) (not (tptp.v4_pre_topc BOUND_VARIABLE_2314 A))) (= (tptp.k4_pre_topc A BOUND_VARIABLE_2312 _let_1 (tptp.k5_subset_1 _let_2 BOUND_VARIABLE_2316 BOUND_VARIABLE_2314)) (tptp.k5_subset_1 (tptp.u1_struct_0 BOUND_VARIABLE_2312) (tptp.k4_pre_topc A BOUND_VARIABLE_2312 _let_1 BOUND_VARIABLE_2316) (tptp.k4_pre_topc A BOUND_VARIABLE_2312 _let_1 BOUND_VARIABLE_2314)))))))))) (let ((_let_77 (not _let_74))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (or))) (let ((_let_80 (not _let_76))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_78) :args (_let_80))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_76))) (REFL :args (_let_77)) :args _let_79)) _let_78 :args (_let_77 true _let_76)))) (let ((_let_82 (tptp.k1_zfmisc_1 _let_22))) (let ((_let_83 (tptp.m1_subset_1 _let_20 _let_82))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.m1_subset_1 _let_21 _let_82))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_28))) (let ((_let_88 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.k5_subset_1 A B C)))) (let ((_let_92 (tptp.m1_relset_1 _let_19 _let_24 _let_22))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.v1_funct_2 _let_19 _let_24 _let_22))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.v1_funct_1 _let_19))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99 _let_97 _let_95 _let_93 _let_83))) (let ((_let_103 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_struct_0 A)) (not (tptp.l1_struct_0 B)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_2 _let_1)) (not (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k4_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((tptp.k4_pre_topc A B C D)))) (let ((_let_107 (tptp.m2_relset_1 _let_19 _let_24 _let_22))) (let ((_let_108 (= _let_92 _let_107))) (let ((_let_109 (_let_7))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (tptp.v5_pre_topc _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_112 (and _let_96 _let_94 _let_111 _let_107))) (let ((_let_113 (tptp.m1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_73 _let_72 _let_70 _let_68 _let_67 _let_114 _let_112))) (let ((_let_116 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_tsp_2 A B))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 B) (not (tptp.v2_tsp_2 B A)) (not (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (= _let_64 _let_113))) (let ((_let_119 (or _let_70 _let_118))) (let ((_let_120 (forall ((A $$unsorted) (BOUND_VARIABLE_3878 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (= (tptp.m2_tsp_1 BOUND_VARIABLE_3878 A) (tptp.m1_pre_topc BOUND_VARIABLE_3878 A)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (REFL :args (_let_74)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 2)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_79)) :args ((or _let_69 _let_74))) _let_81 :args (_let_69 true _let_74)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 5)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_79)) :args ((or _let_64 _let_74))) _let_81 :args (_let_64 true _let_74)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_118)) :args ((or _let_65 _let_113 (not _let_118)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_70 _let_118 (not _let_119)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_tsp_1 BOUND_VARIABLE_3878 A)))) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_69 false _let_119)) :args (_let_113 false _let_64 false _let_118)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 4)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_79)) :args ((or _let_66 _let_74))) _let_81 :args (_let_66 true _let_74)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 3)) _let_81 :args ((not _let_68) true _let_74)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_79)) :args ((or _let_71 _let_74))) _let_81 :args (_let_71 true _let_74)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 0)) _let_81 :args ((not _let_73) true _let_74)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_73 _let_72 _let_70 _let_68 _let_67 _let_114 _let_112 (not _let_115)))) _let_129 _let_128 _let_123 _let_127 _let_126 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_tsp_2 B A) false))))) :args (_let_116))) _let_117 :args (_let_115 false _let_116)) :args (_let_112 true _let_73 false _let_71 false _let_69 true _let_68 false _let_66 false _let_113 false _let_115)))) (let ((_let_131 (not _let_112))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_112 3)) :args ((or _let_107 _let_131))) _let_130 :args (_let_107 false _let_112)))) (let ((_let_133 (not _let_107))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_108)) :args ((or _let_92 _let_133 (not _let_108)))) _let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_24 _let_22 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_109))) _let_110 :args (_let_108 false _let_7)) :args (_let_92 false _let_107 false _let_108)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_112 1)) :args ((or _let_94 _let_131))) _let_130 :args (_let_94 false _let_112)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_112 0)) :args ((or _let_96 _let_131))) _let_130 :args (_let_96 false _let_112)))) (let ((_let_137 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_98))) (let ((_let_140 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (tptp.l1_struct_0 A))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 (or _let_70 _let_65 _let_137))) (let ((_let_144 (forall ((A $$unsorted) (BOUND_VARIABLE_3540 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3540 A)) (tptp.l1_pre_topc BOUND_VARIABLE_3540))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_138 _let_98 (not _let_139)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_70 _let_65 _let_137 (not _let_143)))) _let_123 _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_tsp_1 BOUND_VARIABLE_3540 A) false))))) :args (_let_144))) _let_145 :args (_let_143 false _let_144)) :args (_let_137 false _let_69 false _let_64 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_142)) _let_141 :args (_let_139 false _let_140)) :args (_let_98 false _let_137 false _let_139)))) (let ((_let_147 (or _let_70 _let_100))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_70 _let_100 (not _let_147)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_pre_topc A) false))))) :args _let_142)) _let_141 :args (_let_147 false _let_140)) :args (_let_100 false _let_69 false _let_147)))) (let ((_let_149 (or _let_101 _let_99 _let_97 _let_95 _let_93 _let_85))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_85 _let_101 _let_99 _let_97 _let_95 _let_93 (not _let_149)))) _let_148 _let_146 _let_136 _let_135 _let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_149 false _let_103)) :args (_let_85 false _let_100 false _let_98 false _let_96 false _let_94 false _let_92 false _let_149)))) (let ((_let_151 (or _let_73 _let_72 _let_70 _let_63 _let_61 _let_58 _let_33))) (let ((_let_152 (forall ((A $$unsorted) (BOUND_VARIABLE_3976 $$unsorted) (BOUND_VARIABLE_3974 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3974 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3976 _let_2)) (and (not (tptp.v4_pre_topc BOUND_VARIABLE_3974 A)) (not (tptp.v4_pre_topc BOUND_VARIABLE_3976 A))) (= (tptp.k3_tex_4 A (tptp.k5_subset_1 _let_1 BOUND_VARIABLE_3974 BOUND_VARIABLE_3976)) (tptp.k5_subset_1 _let_1 (tptp.k3_tex_4 A BOUND_VARIABLE_3974) (tptp.k3_tex_4 A BOUND_VARIABLE_3976))))))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 7)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_79)) :args ((or _let_60 _let_74))) _let_81 :args (_let_60 true _let_74)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 6)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_79)) :args ((or _let_62 _let_74))) _let_81 :args (_let_62 true _let_74)))) (let ((_let_157 (forall ((A $$unsorted)) (= A (tptp.k3_xboole_0 A A))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (tptp.m1_subset_1 _let_29 _let_59))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.m1_subset_1 _let_30 _let_59))) (let ((_let_162 (not _let_161))) (let ((_let_163 (or _let_162 _let_160 _let_37))) (let ((_let_164 (or _let_73 _let_70 _let_61 _let_159))) (let ((_let_165 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (or (tptp.v3_struct_0 A) (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_tex_4 A B) _let_1)))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (_let_165))) (let ((_let_168 ((tptp.k3_tex_4 A B)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_73 _let_70 _let_61 _let_159 (not _let_164)))) _let_129 _let_123 _let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_164 false _let_165)) :args (_let_159 true _let_73 false _let_69 false _let_60 false _let_164)))) (let ((_let_170 (or _let_73 _let_70 _let_63 _let_161))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_73 _let_70 _let_63 _let_161 (not _let_170)))) _let_129 _let_123 _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_170 false _let_165)) :args (_let_161 true _let_73 false _let_69 false _let_62 false _let_170)))) (let ((_let_172 (or _let_63 _let_39))) (let ((_let_173 (forall ((BOUND_VARIABLE_3335 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 BOUND_VARIABLE_3335 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k5_subset_1 _let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.k3_tex_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_3335)) (tptp.k4_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k4_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) BOUND_VARIABLE_3335))))))) (let ((_let_174 (tptp.m1_subset_1 _let_22 _let_59))) (let ((_let_175 (not _let_174))) (let ((_let_176 (not _let_111))) (let ((_let_177 (or _let_73 _let_72 _let_70 _let_68 _let_67 _let_65 _let_97 _let_95 _let_176 _let_133 _let_175 _let_173))) (let ((_let_178 (forall ((A $$unsorted) (BOUND_VARIABLE_3424 $$unsorted) (BOUND_VARIABLE_3422 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_3422))) (or (tptp.v3_struct_0 A) (not (tptp.v2_pre_topc A)) (not (tptp.l1_pre_topc A)) (tptp.v3_struct_0 BOUND_VARIABLE_3422) (not (tptp.v2_tsp_2 BOUND_VARIABLE_3422 A)) (not (tptp.m2_tsp_1 BOUND_VARIABLE_3422 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3424)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3424 _let_1 _let_2)) (not (tptp.v5_pre_topc BOUND_VARIABLE_3424 A BOUND_VARIABLE_3422)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3424 _let_1 _let_2)) (= (or (not (tptp.m1_subset_1 _let_2 (tptp.k1_zfmisc_1 _let_1))) (forall ((BOUND_VARIABLE_3335 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 BOUND_VARIABLE_3335 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k5_subset_1 _let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3422) (tptp.k3_tex_4 A BOUND_VARIABLE_3335)) (tptp.k4_pre_topc A BOUND_VARIABLE_3422 BOUND_VARIABLE_3424 BOUND_VARIABLE_3335)))))) (= BOUND_VARIABLE_3424 (tptp.k4_tsp_2 A BOUND_VARIABLE_3422))))))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (or _let_70 _let_114 _let_174))) (let ((_let_181 (forall ((A $$unsorted) (BOUND_VARIABLE_3902 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_pre_topc BOUND_VARIABLE_3902 A)) (tptp.m1_subset_1 (tptp.u1_struct_0 BOUND_VARIABLE_3902) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_70 _let_114 _let_174 (not _let_180)))) _let_123 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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(tptp.m1_pre_topc B A) (=> _let_1 (and _let_1 (tptp.v2_t_0topsp B)))))))) (forall ((A $$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))) _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_tsp_2 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true true true _let_15 true _let_14 _let_13 _let_12 true _let_11 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 $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_10 true (exists ((A $$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)) (=> (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) (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) (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 $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) _let_9 (forall ((A $$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 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))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k4_pre_topc A B C D) (tptp.k9_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_tsp_2 B A) (tptp.m1_pre_topc B A)) (= (tptp.k4_tsp_2 A B) (tptp.k1_tsp_2 A B)))) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_3 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$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 $$unsorted) (C $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.23/30.44 )
% 30.23/30.44 % SZS output end Proof for TOP040+1
% 30.23/30.44 % cvc5---1.0.5 exiting
% 30.23/30.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------