TSTP Solution File: LAT371+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT371+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 : Thu Aug 31 06:04:30 EDT 2023
% Result : Theorem 1.44s 1.67s
% Output : Proof 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT371+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n018.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 : Thu Aug 24 08:29:57 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.44/1.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.d4zOolkn3a/cvc5---1.0.5_19564.p...
% 1.44/1.67 ------- get file name : TPTP file name is LAT371+1
% 1.44/1.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19564.smt2...
% 1.44/1.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.44/1.67 % SZS status Theorem for LAT371+1
% 1.44/1.67 % SZS output start Proof for LAT371+1
% 1.44/1.67 (
% 1.44/1.67 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k1_tarski B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_yellow_0 A _let_1) B) (= (tptp.k2_yellow_0 A _let_1) B))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_struct_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (tptp.r1_yellow_0 A _let_1) (tptp.r2_yellow_0 A _let_1))))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k2_funcop_1 A C) B) C))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (= (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C B))))))) (let ((_let_10 (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)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2) (tptp.m1_subset_1 D _let_1)) (= (tptp.k1_waybel_0 A B C D) (tptp.k1_funct_1 C D)))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (= (tptp.k1_borsuk_1 A B C) (tptp.k2_funcop_1 B C)))))) (let ((_let_14 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_15 (and _let_14 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)))) (let ((_let_16 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_struct_0 C A B)))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))) (let ((_let_19 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_borsuk_1 A B C))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k2_yellow_0 A B) (tptp.u1_struct_0 A)))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k1_yellow_0 A B) (tptp.u1_struct_0 A)))))) (let ((_let_23 (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 (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (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 D _let_2)) (tptp.m1_subset_1 (tptp.k1_waybel_0 A B C D) _let_1))))))) (let ((_let_24 (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_borsuk_1 A B C) (tptp.k1_borsuk_1 _let_1 (tptp.u1_struct_0 A) C))))))))))) (let ((_let_25 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_pre_topc A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r4_waybel_0 A B C D) (=> (tptp.r1_yellow_0 A D) (and (tptp.r1_yellow_0 B _let_1) (= (tptp.k1_yellow_0 B _let_1) (tptp.k1_waybel_0 A B C (tptp.k1_yellow_0 A D))))))))))))))))))) (let ((_let_26 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$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.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_pre_topc A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r3_waybel_0 A B C D) (=> (tptp.r2_yellow_0 A D) (and (tptp.r2_yellow_0 B _let_1) (= (tptp.k2_yellow_0 B _let_1) (tptp.k1_waybel_0 A B C (tptp.k2_yellow_0 A D))))))))))))))))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))))) (let ((_let_28 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_borsuk_1 A B C))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.r4_waybel_0 A B _let_1 D) (tptp.r3_waybel_0 A B _let_1 D)))))))))))))) (let ((_let_29 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (tptp.v1_xboole_0 _let_29))) (let ((_let_31 (= tptp.k1_xboole_0 _let_29))) (let ((_let_32 (not _let_30))) (let ((_let_33 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_36 (or _let_35 _let_34 _let_32))) (let ((_let_37 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.v3_struct_0 A) true))))) (let ((_let_41 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_33))) (let ((_let_44 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((not (= (tptp.l1_orders_2 A) false))))) (let ((_let_48 (tptp.k3_borsuk_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (tptp.r3_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (tptp.r4_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (and _let_50 _let_49))) (let ((_let_52 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.k1_zfmisc_1 _let_52)))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (or _let_64 _let_63 _let_35 _let_61 _let_59 _let_42 _let_57 _let_55 _let_54 _let_51))) (let ((_let_66 (forall ((A $$unsorted) (BOUND_VARIABLE_1855 $$unsorted) (BOUND_VARIABLE_1853 $$unsorted) (BOUND_VARIABLE_1851 $$unsorted)) (let ((_let_1 (tptp.k3_borsuk_1 A BOUND_VARIABLE_1851 BOUND_VARIABLE_1855))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1851) (not (tptp.v2_orders_2 BOUND_VARIABLE_1851)) (not (tptp.v4_orders_2 BOUND_VARIABLE_1851)) (not (tptp.l1_orders_2 BOUND_VARIABLE_1851)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1855 (tptp.u1_struct_0 BOUND_VARIABLE_1851))) (tptp.v1_xboole_0 BOUND_VARIABLE_1853) (not (tptp.m1_subset_1 BOUND_VARIABLE_1853 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.r4_waybel_0 A BOUND_VARIABLE_1851 _let_1 BOUND_VARIABLE_1853) (tptp.r3_waybel_0 A BOUND_VARIABLE_1851 _let_1 BOUND_VARIABLE_1853))))))) (let ((_let_67 (not _let_65))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (or))) (let ((_let_70 (not _let_66))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_68) :args (_let_70))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_66))) (REFL :args (_let_67)) :args _let_69)) _let_68 :args (_let_67 true _let_66)))) (let ((_let_72 (REFL :args (_let_65)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 5)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_69)) :args ((or _let_41 _let_65))) _let_71 :args (_let_41 true _let_65)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_33 (not _let_43)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_33 false _let_41 false _let_43)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 2)) _let_71 :args ((not _let_35) true _let_65)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_34 _let_32 (not _let_36)))) _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_32 true _let_35 false _let_33 false _let_36)))) (let ((_let_77 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 _let_52))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.k2_funcop_1 _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_82 (tptp.k9_relat_1 _let_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_83 (tptp.k1_funct_1 _let_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_84 (tptp.r2_hidden _let_83 _let_82))) (let ((_let_85 (tptp.m2_relset_1 _let_81 _let_52 _let_29))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.v1_funct_2 _let_81 _let_52 _let_29))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.v1_funct_1 _let_81))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88 _let_86 _let_31 _let_84 _let_80 _let_78))) (let ((_let_92 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_2982 $$unsorted)) (or (not (tptp.v1_funct_1 D)) (not (tptp.v1_funct_2 D A B)) (not (tptp.m2_relset_1 D A B)) (= tptp.k1_xboole_0 B) (tptp.r2_hidden (tptp.k1_funct_1 D BOUND_VARIABLE_2982) 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_64 _let_122 _let_55 _let_54 _let_120 _let_112))) (let ((_let_124 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_2556 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (tptp.v1_xboole_0 B) (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (not (tptp.m1_struct_0 BOUND_VARIABLE_2556 A B)) (tptp.m1_subset_1 BOUND_VARIABLE_2556 _let_1)))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (forall ((C $$unsorted)) (not (tptp.m1_struct_0 C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_64 _let_122 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_let_180 _let_166))) :args (true _let_311)) :args ((or _let_183 _let_273 _let_272 (not _let_182) _let_271 _let_270 _let_269 _let_268 _let_267 _let_194))) _let_266 _let_261 _let_254 _let_250 _let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_305 1)) :args ((or _let_182 _let_310))) _let_309 :args (_let_182 false _let_305)) _let_205 _let_199 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_274)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_275 _let_277 _let_280 _let_284 _let_286 _let_289 _let_292 _let_297 _let_302) (SCOPE (TRUE_ELIM (TRANS (CONG _let_296 _let_304 :args _let_276) (CONG _let_296 _let_295 :args _let_276) (TRUE_INTRO _let_275))) :args (_let_173 _let_172 _let_180 _let_103 _let_104 _let_176 _let_179 _let_166 _let_178))) :args (_let_104 _let_172 _let_173 _let_103 _let_176 _let_178 _let_179 _let_180 _let_166))) :args (true _let_274)) :args ((or _let_181 _let_273 _let_272 (not _let_173) _let_271 _let_270 _let_269 _let_268 _let_267 _let_194))) _let_266 _let_261 _let_254 _let_250 _let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_206 1)) :args ((or _let_173 _let_213))) _let_212 :args (_let_173 false _let_206)) _let_205 _let_199 :args (_let_194 true _let_51 false _let_50 false _let_193 false _let_49 false _let_192 false _let_191 false _let_190 false _let_189 false _let_188 false _let_187 false _let_96 false _let_180 false _let_179 false _let_178 false _let_101 false _let_176 false _let_103 false _let_186 false _let_172 false _let_104 false _let_185 false _let_180 false _let_179 false _let_178 false _let_176 false _let_103 false _let_184 false _let_172 false _let_104 false _let_183 false _let_180 false _let_179 false _let_178 false _let_176 false _let_103 false _let_182 false _let_172 false _let_104 false _let_181 false _let_180 false _let_179 false _let_178 false _let_176 false _let_103 false _let_173 false _let_172 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_82 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_tarski A B)))) :args _let_169))) _let_170 :args (_let_167 false _let_27)) :args (_let_168 true _let_166 false _let_167)) :args (_let_165 false _let_163 true _let_164)) :args (_let_162 false _let_104 false _let_103 false _let_96 true _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_98 _let_97 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r2_hidden A B)))) :args _let_158))) _let_159 :args (_let_156 false _let_5)) :args (_let_157 true _let_155 false _let_156)) _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_80 _let_94 (not _let_106)))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden B A) false)) _let_110))) :args _let_109)) _let_108 :args (_let_106 false _let_107)) :args (_let_94 false _let_79 false _let_106)) :args (_let_105 false _let_104 false _let_103 false _let_101 true _let_99 false _let_96 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_52 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2_hidden (tptp.k1_funct_1 D BOUND_VARIABLE_2982) (tptp.k9_relat_1 D C)) true)) (not (= (tptp.v1_funct_2 D A B) false))))) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_31 false _let_89 false _let_77 false _let_79 false _let_87 false _let_85 true _let_84 false _let_91)) _let_76 (AND_ELIM (ASSUME :args (_let_15)) :args (0)) :args (false false _let_31 true _let_30 false _let_14)) :args (_let_28 (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.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (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 (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$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.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) _let_27 _let_26 _let_25 _let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_borsuk_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) true _let_23 true _let_22 true true _let_21 true _let_20 (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)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k7_yellow_2 A B C D) _let_1)))) true _let_19 true true _let_18 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) _let_17 (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)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) _let_16 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_yellow_1 _let_1) (tptp.v4_waybel_3 _let_1) (tptp.v2_pralg_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (and (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_waybel_3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A))) (not (tptp.v1_xboole_0 (tptp.k9_relat_1 C D))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) _let_15 (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (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 (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) _let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m1_relset_1 C A _let_1) (tptp.m1_subset_1 D A)) (= (tptp.k7_yellow_2 A B C D) (tptp.k1_funct_1 C D))))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_2 (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.44/1.68 )
% 1.44/1.68 % SZS output end Proof for LAT371+1
% 1.44/1.68 % cvc5---1.0.5 exiting
% 1.44/1.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------