%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 06:03:42 EDT 2023

% Result   : Theorem 0.21s 0.67s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.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 05:28:09 EDT 2023
% 0.20/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.67  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qJX7shXUtk/cvc5---1.0.5_12034.p...
% 0.21/0.67  ------- get file name : TPTP file name is LAT294+1
% 0.21/0.67  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12034.smt2...
% 0.21/0.67  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.67  % SZS status Theorem for LAT294+1
% 0.21/0.67  % SZS output start Proof for LAT294+1
% 0.21/0.67  (
% 0.21/0.67  (let ((_let_1 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (=> (and (= E (tptp.k1_realset1 C B)) (= F (tptp.k1_realset1 D B))) (and (=> (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 B E F)) (=> (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 B E F)))))))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (and (tptp.r4_binop_1 A B C) (tptp.r5_binop_1 A B C))))))))))) (let ((_let_3 (not (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (=> (and (= E (tptp.k1_realset1 C B)) (= F (tptp.k1_realset1 D B)) (tptp.r6_binop_1 A C D)) (tptp.r6_binop_1 B E F))))))))))))))))))))) (let ((_let_4 (tptp.k1_realset1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.k1_realset1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.r5_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 _let_4))) (let ((_let_7 (tptp.r4_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 _let_4))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (tptp.r6_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 _let_4))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (not _let_8))) (let ((_let_12 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.m2_relset_1 _let_4 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.v1_funct_2 _let_4 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.v1_funct_1 _let_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.m2_relset_1 _let_5 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.v1_funct_2 _let_5 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.v1_funct_1 _let_5))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_10))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1248 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m2_relset_1 B _let_1 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1248)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1248 _let_1 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1248 _let_1 A)) (= (tptp.r6_binop_1 A B BOUND_VARIABLE_1248) (and (tptp.r4_binop_1 A B BOUND_VARIABLE_1248) (tptp.r5_binop_1 A B BOUND_VARIABLE_1248)))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((tptp.r6_binop_1 A B BOUND_VARIABLE_1248)))) (let ((_let_30 (tptp.r6_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (or _let_48 _let_47 _let_46 _let_44 _let_42 _let_40 _let_24 _let_22 _let_20 _let_38 _let_36 _let_34 _let_31 _let_18 _let_16 _let_14 _let_9))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_1169 $$unsorted) (BOUND_VARIABLE_1167 $$unsorted) (BOUND_VARIABLE_1165 $$unsorted)) (let ((_let_1 (tptp.k1_realset1 BOUND_VARIABLE_1167 BOUND_VARIABLE_1165))) (let ((_let_2 (tptp.k1_realset1 BOUND_VARIABLE_1169 BOUND_VARIABLE_1165))) (let ((_let_3 (tptp.k2_zfmisc_1 BOUND_VARIABLE_1165 BOUND_VARIABLE_1165))) (let ((_let_4 (tptp.k2_zfmisc_1 A A))) (or (tptp.v1_xboole_0 A) (tptp.v1_xboole_0 BOUND_VARIABLE_1165) (not (tptp.m1_subset_1 BOUND_VARIABLE_1165 (tptp.k1_zfmisc_1 A))) (not (tptp.v1_funct_1 BOUND_VARIABLE_1169)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1169 _let_4 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1169 _let_4 A)) (not (tptp.v1_funct_1 _let_2)) (not (tptp.v1_funct_2 _let_2 _let_3 BOUND_VARIABLE_1165)) (not (tptp.m2_relset_1 _let_2 _let_3 BOUND_VARIABLE_1165)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1167)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1167 _let_4 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1167 _let_4 A)) (not (tptp.r6_binop_1 A BOUND_VARIABLE_1169 BOUND_VARIABLE_1167)) (not (tptp.v1_funct_1 _let_1)) (not (tptp.v1_funct_2 _let_1 _let_3 BOUND_VARIABLE_1165)) (not (tptp.m2_relset_1 _let_1 _let_3 BOUND_VARIABLE_1165)) (tptp.r6_binop_1 BOUND_VARIABLE_1165 _let_2 _let_1))))))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or))) (let ((_let_54 (not _let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args (_let_54))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) (REFL :args (_let_51)) :args _let_53)) _let_52 :args (_let_51 true _let_50)))) (let ((_let_56 (REFL :args (_let_49)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 15)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_53)) :args ((or _let_13 _let_49))) _let_55 :args (_let_13 true _let_49)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 14)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_53)) :args ((or _let_15 _let_49))) _let_55 :args (_let_15 true _let_49)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 13)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_53)) :args ((or _let_17 _let_49))) _let_55 :args (_let_17 true _let_49)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 8)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_53)) :args ((or _let_19 _let_49))) _let_55 :args (_let_19 true _let_49)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 7)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_53)) :args ((or _let_21 _let_49))) _let_55 :args (_let_21 true _let_49)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 6)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_53)) :args ((or _let_23 _let_49))) _let_55 :args (_let_23 true _let_49)))) (let ((_let_63 (tptp.r4_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_7))) (let ((_let_66 (tptp.r5_binop_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_6))) (let ((_let_69 (and _let_65 _let_68))) (let ((_let_70 (or _let_48 _let_47 _let_46 _let_44 _let_42 _let_40 _let_24 _let_22 _let_20 _let_38 _let_36 _let_34 _let_18 _let_16 _let_14 _let_69))) (let ((_let_71 (forall ((A $$unsorted) (BOUND_VARIABLE_1575 $$unsorted) (BOUND_VARIABLE_1573 $$unsorted) (BOUND_VARIABLE_1571 $$unsorted)) (let ((_let_1 (tptp.k1_realset1 BOUND_VARIABLE_1573 BOUND_VARIABLE_1571))) (let ((_let_2 (tptp.k1_realset1 BOUND_VARIABLE_1575 BOUND_VARIABLE_1571))) (let ((_let_3 (tptp.k2_zfmisc_1 BOUND_VARIABLE_1571 BOUND_VARIABLE_1571))) (let ((_let_4 (tptp.k2_zfmisc_1 A A))) (or (tptp.v1_xboole_0 A) (tptp.v1_xboole_0 BOUND_VARIABLE_1571) (not (tptp.m1_subset_1 BOUND_VARIABLE_1571 (tptp.k1_zfmisc_1 A))) (not (tptp.v1_funct_1 BOUND_VARIABLE_1575)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1575 _let_4 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1575 _let_4 A)) (not (tptp.v1_funct_1 _let_2)) (not (tptp.v1_funct_2 _let_2 _let_3 BOUND_VARIABLE_1571)) (not (tptp.m2_relset_1 _let_2 _let_3 BOUND_VARIABLE_1571)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1573)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1573 _let_4 A)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1573 _let_4 A)) (not (tptp.v1_funct_1 _let_1)) (not (tptp.v1_funct_2 _let_1 _let_3 BOUND_VARIABLE_1571)) (not (tptp.m2_relset_1 _let_1 _let_3 BOUND_VARIABLE_1571)) (and (or (not (tptp.r4_binop_1 A BOUND_VARIABLE_1575 BOUND_VARIABLE_1573)) (tptp.r4_binop_1 BOUND_VARIABLE_1571 _let_2 _let_1)) (or (not (tptp.r5_binop_1 A BOUND_VARIABLE_1575 BOUND_VARIABLE_1573)) (tptp.r5_binop_1 BOUND_VARIABLE_1571 _let_2 _let_1))))))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 11)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_53)) :args ((or _let_33 _let_49))) _let_55 :args (_let_33 true _let_49)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 10)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_53)) :args ((or _let_35 _let_49))) _let_55 :args (_let_35 true _let_49)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 9)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_53)) :args ((or _let_37 _let_49))) _let_55 :args (_let_37 true _let_49)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 5)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_53)) :args ((or _let_39 _let_49))) _let_55 :args (_let_39 true _let_49)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 4)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_53)) :args ((or _let_41 _let_49))) _let_55 :args (_let_41 true _let_49)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 3)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_53)) :args ((or _let_43 _let_49))) _let_55 :args (_let_43 true _let_49)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_48 _let_47 _let_46 _let_44 _let_42 _let_40 _let_24 _let_22 _let_20 _let_38 _let_36 _let_34 _let_18 _let_16 _let_14 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 0)) _let_55 :args ((not _let_48) true _let_49)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 1)) _let_55 :args ((not _let_47) true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 2)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_53)) :args ((or _let_45 _let_49))) _let_55 :args (_let_45 true _let_49)) _let_78 _let_77 _let_76 _let_62 _let_61 _let_60 _let_75 _let_74 _let_73 _let_59 _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.k1_realset1 BOUND_VARIABLE_1575 BOUND_VARIABLE_1571) (not (= (tptp.m2_relset_1 BOUND_VARIABLE_1573 (tptp.k2_zfmisc_1 A A) A) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 true _let_48 true _let_47 false _let_45 false _let_43 false _let_41 false _let_39 false _let_23 false _let_21 false _let_19 false _let_37 false _let_35 false _let_33 false _let_17 false _let_15 false _let_13 false _let_70)))) (let ((_let_80 (not _let_69))) (let ((_let_81 (and _let_63 _let_66))) (let ((_let_82 (= _let_30 _let_81))) (let ((_let_83 (or _let_44 _let_42 _let_40 _let_38 _let_36 _let_34 _let_82))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or _let_31 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 12)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_53)) :args ((or _let_30 _let_49))) _let_55 :args (_let_30 true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_44 _let_42 _let_40 _let_38 _let_36 _let_34 _let_82 (not _let_83)))) _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 (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_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_83 false _let_26)) :args (_let_82 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_83)) :args (_let_81 false _let_30 false _let_82)))) (let ((_let_85 (not _let_81))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_6 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_66 _let_85))) _let_84 :args (_let_66 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_69 1)) :args ((or _let_68 _let_80))) _let_79 :args (_let_68 false _let_69)) :args (_let_6 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_7 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 0)) :args ((or _let_63 _let_85))) _let_84 :args (_let_63 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_69 0)) :args ((or _let_65 _let_80))) _let_79 :args (_let_65 false _let_69)) :args (_let_7 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_9 _let_11 (not _let_10)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 16)) _let_55 :args ((not _let_9) true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_10 (not _let_25)))) _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_10 false _let_23 false _let_21 false _let_19 false _let_17 false _let_15 false _let_13 false _let_25)) :args (_let_11 true _let_9 false _let_10)) :args (false false _let_6 false _let_7 true _let_8)) :args (_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) _let_2 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k1_realset1 A B) (tptp.k7_relat_1 A (tptp.k2_zfmisc_1 B B)))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k7_relat_1 A B)))) true true (forall ((A $$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))))) (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 $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_realset1 A B)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_realset1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 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)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.67  )
% 0.21/0.67  % SZS output end Proof for LAT294+1
% 0.21/0.67  % cvc5---1.0.5 exiting
% 0.21/0.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------