TSTP Solution File: TOP023+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : TOP023+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 05:54:35 EDT 2023
% Result : Theorem 0.22s 0.67s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : TOP023+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 23:23:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fYnKSXeisl/cvc5---1.0.5_23531.p...
% 0.22/0.67 ------- get file name : TPTP file name is TOP023+1
% 0.22/0.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23531.smt2...
% 0.22/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.67 % SZS status Theorem for TOP023+1
% 0.22/0.67 % SZS output start Proof for TOP023+1
% 0.22/0.67 (
% 0.22/0.67 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_1 C A)) (tptp.v1_tsp_1 D B))))))))))))) (let ((_let_2 (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 ((_let_3 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_subset_1 (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tsp_2 B A) (and (tptp.v1_tsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tsp_1 C A) (tptp.r1_tarski B C)) (= B C)))))))))))) (let ((_let_5 (not (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (= (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc B))) (= C D) (tptp.v1_tsp_2 C A)) (tptp.v1_tsp_2 D B)))))))))))))) (let ((_let_6 (forall ((A $$unsorted) (BOUND_VARIABLE_1723 $$unsorted) (BOUND_VARIABLE_1721 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1721))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_pre_topc A)) (not (tptp.l1_pre_topc BOUND_VARIABLE_1721)) (not (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc BOUND_VARIABLE_1721)))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1723 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v1_tsp_1 BOUND_VARIABLE_1723 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1723 (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_tsp_1 BOUND_VARIABLE_1723 BOUND_VARIABLE_1721))))))) (let ((_let_7 (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.k1_zfmisc_1 _let_8))) (let ((_let_10 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.k1_zfmisc_1 _let_14))) (let ((_let_16 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.u1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.u1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= (tptp.g1_pre_topc _let_8 _let_19) (tptp.g1_pre_topc _let_14 _let_18)))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.l1_pre_topc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_17 _let_13 _let_11 _let_7))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_30 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_7))) (let ((_let_33 (or _let_11 _let_32 _let_31 _let_29))) (let ((_let_34 (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.v1_tsp_1 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 C)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_35 (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (and _let_35 _let_34))) (let ((_let_37 (tptp.v1_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_23 _let_40 _let_38))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_1503 $$unsorted)) (or (not (tptp.l1_pre_topc A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1503 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v1_tsp_2 BOUND_VARIABLE_1503 A) (and (tptp.v1_tsp_1 BOUND_VARIABLE_1503 A) (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_tsp_1 C A)) (not (tptp.r1_tarski BOUND_VARIABLE_1503 C)) (= C BOUND_VARIABLE_1503))))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1503 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) (let ((_let_46 (tptp.v1_tsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_37))) (let ((_let_50 (or _let_23 _let_25 _let_21 _let_40 _let_49 _let_48 _let_46))) (let ((_let_51 (forall ((A $$unsorted) (BOUND_VARIABLE_1176 $$unsorted) (BOUND_VARIABLE_1174 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1174))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.l1_pre_topc A)) (not (tptp.l1_pre_topc BOUND_VARIABLE_1174)) (not (= (tptp.g1_pre_topc _let_2 (tptp.u1_pre_topc A)) (tptp.g1_pre_topc _let_1 (tptp.u1_pre_topc BOUND_VARIABLE_1174)))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1176 (tptp.k1_zfmisc_1 _let_2))) (not (tptp.v1_tsp_2 BOUND_VARIABLE_1176 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1176 (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_tsp_2 BOUND_VARIABLE_1176 BOUND_VARIABLE_1174))))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (or))) (let ((_let_55 (not _let_51))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) (REFL :args (_let_52)) :args _let_54)) _let_53 :args (_let_52 true _let_51)))) (let ((_let_57 (REFL :args (_let_50)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 3)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_54)) :args ((or _let_39 _let_50))) _let_56 :args (_let_39 true _let_50)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_54)) :args ((or _let_22 _let_50))) _let_56 :args (_let_22 true _let_50)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_49 _let_36 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 4)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_37))) :args _let_54)) :args ((or _let_37 _let_50))) _let_56 :args (_let_37 true _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_23 _let_40 _let_38 (not _let_41)))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_41 false _let_42)) :args (_let_38 false _let_22 false _let_39 false _let_41)) :args (_let_36 false _let_37 false _let_38)))) (let ((_let_61 (not _let_36))) (let ((_let_62 (_let_34))) (let ((_let_63 (= _let_8 _let_14))) (let ((_let_64 (and _let_63 (= _let_19 _let_18)))) (let ((_let_65 (tptp.m1_subset_1 _let_19 (tptp.k1_zfmisc_1 _let_9)))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_21 _let_64))) (let ((_let_68 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1564 $$unsorted) (BOUND_VARIABLE_1562 $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (not (= (tptp.g1_pre_topc A B) (tptp.g1_pre_topc BOUND_VARIABLE_1562 BOUND_VARIABLE_1564))) (and (= A BOUND_VARIABLE_1562) (= B BOUND_VARIABLE_1564)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or _let_23 _let_65))) (let ((_let_71 (forall ((A $$unsorted)) (or (not (tptp.l1_pre_topc A)) (tptp.m1_subset_1 (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 2)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_54)) :args ((or _let_20 _let_50))) _let_56 :args (_let_20 true _let_50)))) (let ((_let_74 (or _let_17 _let_13 _let_31 _let_29))) (let ((_let_75 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (not (tptp.v1_tsp_1 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 C)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (tptp.v1_tsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_78 (and _let_77 _let_75))) (let ((_let_79 (not _let_75))) (let ((_let_80 (not _let_35))) (let ((_let_81 (or _let_23 _let_25 _let_21 _let_40 _let_80 _let_48 _let_77))) (let ((_let_82 (_let_6))) (let ((_let_83 ((not (= (tptp.l1_pre_topc BOUND_VARIABLE_1721) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1723 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) false))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 5)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_54)) :args ((or _let_47 _let_50))) _let_56 :args (_let_47 true _let_50)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_54)) :args ((or _let_24 _let_50))) _let_56 :args (_let_24 true _let_50)))) (let ((_let_86 (= _let_46 _let_78))) (let ((_let_87 (not _let_78))) (let ((_let_88 (or _let_25 _let_48 _let_86))) (let ((_let_89 (_let_79))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89) (REWRITE :args ((=> _let_79 (not (or _let_17 _let_13 _let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_75))) (REFL :args (_let_76)) :args _let_54)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_86)) :args ((or _let_46 _let_87 (not _let_86)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 6)) _let_56 :args ((not _let_46) true _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_25 _let_48 _let_86 (not _let_88)))) _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_88 false _let_42)) :args (_let_86 false _let_24 false _let_47 false _let_88)) :args (_let_87 true _let_46 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_23 _let_25 _let_21 _let_40 _let_48 _let_77 _let_80 (not _let_81)))) _let_59 _let_85 _let_73 _let_58 _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_35 _let_61))) _let_60 :args (_let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_82)) _let_27 :args (_let_81 false _let_6)) :args (_let_77 false _let_22 false _let_24 false _let_20 false _let_39 false _let_47 false _let_35 false _let_81)) :args (_let_79 true _let_78 false _let_77)) :args (_let_76 true _let_75)))) (let ((_let_91 (REFL :args (_let_74)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_54)) :args ((or _let_16 _let_74))) _let_90 :args (_let_16 true _let_74)))) (let ((_let_93 (and _let_16 _let_63))) (let ((_let_94 (_let_16 _let_63))) (let ((_let_95 (ASSUME :args (_let_16)))) (let ((_let_96 (ASSUME :args (_let_63)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (CONG (SYMM (SYMM _let_96)) :args (APPLY_UF tptp.k1_zfmisc_1)) :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_95))) :args _let_94)) :args _let_94)) :args (true _let_93)) :args ((or _let_17 _let_10 (not _let_63)))) _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_21 _let_66 _let_64 (not _let_67)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_23 _let_65 (not _let_70)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_pre_topc A) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_65 false _let_22 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_8 _let_19 _let_18 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) false)) (tptp.g1_pre_topc BOUND_VARIABLE_1562 BOUND_VARIABLE_1564)))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_64 false _let_20 false _let_65 false _let_67)) :args (_let_63 false _let_64)) :args (_let_10 false _let_16 false _let_63)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_82))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_23 _let_25 _let_21 _let_17 _let_13 _let_11 _let_7 _let_28))) _let_59 _let_85 _let_73 _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_54)) :args ((or _let_12 _let_74))) _let_90 :args (_let_12 true _let_74)) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_31 _let_29 _let_11 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 2)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_54)) :args ((or _let_30 _let_74))) _let_90 :args (_let_30 true _let_74)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 3)) _let_90 :args ((not _let_29) true _let_74)) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 C) false))))) :args _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_34 _let_61))) _let_60 :args (_let_34 false _let_36)) :args (_let_33 false _let_34)) :args (_let_32 false _let_30 true _let_29 false _let_10 false _let_33)) :args (_let_28 false _let_22 false _let_24 false _let_20 false _let_16 false _let_12 false _let_10 true _let_7)) _let_27 :args (false true _let_26 false _let_6)) :args (_let_5 (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)) (=> (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)) (=> (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)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) _let_4 (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 $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))) true true _let_3 true (exists ((A $$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)) (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)) _let_2 (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 $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.68 )
% 0.22/0.68 % SZS output end Proof for TOP023+1
% 0.22/0.68 % cvc5---1.0.5 exiting
% 0.22/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------