%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT030+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 : Wed Aug 30 18:14:44 EDT 2023

% Result   : Theorem 0.89s 1.12s
% Output   : Proof 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CAT030+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.10/0.33  % Computer : n008.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Sun Aug 27 00:12:02 EDT 2023
% 0.10/0.33  % CPUTime    : 
% 0.16/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.89/1.12  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JpyDjFzG0S/cvc5---1.0.5_15767.p...
% 0.89/1.12  ------- get file name : TPTP file name is CAT030+1
% 0.89/1.12  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15767.smt2...
% 0.89/1.12  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.89/1.12  % SZS status Theorem for CAT030+1
% 0.89/1.12  % SZS output start Proof for CAT030+1
% 0.89/1.12  (
% 0.89/1.12  (let ((_let_1 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k8_funct_2 A (tptp.k2_zfmisc_1 B C) (tptp.k14_funct_3 A B C D E) F) (tptp.k4_tarski (tptp.k8_funct_2 A B D F) (tptp.k8_funct_2 A C E F))))))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (= (tptp.k10_cat_1 (tptp.k11_cat_2 A B) (tptp.k12_cat_2 A B C D)) (tptp.k13_cat_2 A B (tptp.k10_cat_1 A C) (tptp.k10_cat_1 B D))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B (tptp.k13_cat_1 A B C D))))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (=> (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)) (= (tptp.k13_cat_1 A B C D) E)))))))))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C)) (= (tptp.k14_funct_3 A B C D E) (tptp.k13_funct_3 D E)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (tptp.m1_subset_1 D (tptp.u2_cat_1 B))) (= (tptp.k13_cat_2 A B C D) (tptp.k4_tarski C D)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A C)) (= (tptp.k10_isocat_2 A B C D E) (tptp.k13_funct_3 D E)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (= (tptp.k10_cat_1 A B) (tptp.k5_cat_1 A B)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k5_cat_1 A B) (tptp.u2_cat_1 A)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (let ((_let_2 (tptp.k14_funct_3 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1)))))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m1_subset_1 D (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k13_cat_1 A B C D) (tptp.u1_cat_1 B)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.m1_subset_1 D (tptp.u1_cat_1 B))) (tptp.m1_subset_1 (tptp.k12_cat_2 A B C D) (tptp.u1_cat_1 (tptp.k11_cat_2 A B))))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A C)) (tptp.m2_cat_1 (tptp.k10_isocat_2 A B C D E) A (tptp.k11_cat_2 B C)))))) (let ((_let_19 (not (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (= (tptp.k13_cat_1 A (tptp.k11_cat_2 B C) (tptp.k10_isocat_2 A B C D E) F) (tptp.k12_cat_2 B C (tptp.k13_cat_1 A B D F) (tptp.k13_cat_1 A C E F)))))))))))))))))) (let ((_let_20 (tptp.k13_funct_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.k10_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.k13_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (tptp.k10_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_25 (tptp.k10_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.k8_funct_2 _let_27 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25))) (let ((_let_29 (= _let_28 _let_24))) (let ((_let_30 (tptp.k13_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (tptp.k10_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30))) (let ((_let_32 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (tptp.k8_funct_2 _let_27 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_25))) (let ((_let_34 (= _let_33 _let_31))) (let ((_let_35 (tptp.k13_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31 _let_24))) (let ((_let_36 (tptp.k12_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30 _let_23))) (let ((_let_37 (tptp.k11_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (tptp.k10_cat_1 _let_37 _let_36))) (let ((_let_39 (= _let_38 _let_35))) (let ((_let_40 (tptp.u2_cat_1 _let_37))) (let ((_let_41 (tptp.k8_funct_2 _let_27 _let_40 _let_21 _let_25))) (let ((_let_42 (= _let_41 _let_38))) (let ((_let_43 (= _let_35 (tptp.k4_tarski _let_31 _let_24)))) (let ((_let_44 (tptp.k14_funct_3 _let_27 _let_32 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (tptp.k2_zfmisc_1 _let_32 _let_26))) (let ((_let_46 (tptp.k8_funct_2 _let_27 _let_45 _let_44 _let_25))) (let ((_let_47 (= _let_46 (tptp.k4_tarski _let_33 _let_28)))) (let ((_let_48 (= _let_41 (tptp.k1_funct_1 _let_21 _let_25)))) (let ((_let_49 (= _let_20 _let_44))) (let ((_let_50 (= _let_46 (tptp.k1_funct_1 _let_44 _let_25)))) (let ((_let_51 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_22))) (let ((_let_68 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.v2_cat_1 C)) (not (tptp.l1_cat_1 C)) (not (tptp.m2_cat_1 D A B)) (not (tptp.m2_cat_1 E A C)) (= (tptp.k10_isocat_2 A B C D E) (tptp.k13_funct_3 D E)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (= (tptp.k13_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_36))) (let ((_let_71 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.u1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_66 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_72 _let_70))) (let ((_let_74 (forall ((A $$unsorted) (BOUND_VARIABLE_1529 $$unsorted) (BOUND_VARIABLE_1527 $$unsorted) (BOUND_VARIABLE_1525 $$unsorted) (BOUND_VARIABLE_1523 $$unsorted) (BOUND_VARIABLE_1521 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1521)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1521)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1529)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1529)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1523 A BOUND_VARIABLE_1521)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1527 A BOUND_VARIABLE_1529)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1525 (tptp.u1_cat_1 A))) (= (tptp.k13_cat_1 A (tptp.k11_cat_2 BOUND_VARIABLE_1521 BOUND_VARIABLE_1529) (tptp.k10_isocat_2 A BOUND_VARIABLE_1521 BOUND_VARIABLE_1529 BOUND_VARIABLE_1523 BOUND_VARIABLE_1527) BOUND_VARIABLE_1525) (tptp.k12_cat_2 BOUND_VARIABLE_1521 BOUND_VARIABLE_1529 (tptp.k13_cat_1 A BOUND_VARIABLE_1521 BOUND_VARIABLE_1523 BOUND_VARIABLE_1525) (tptp.k13_cat_1 A BOUND_VARIABLE_1529 BOUND_VARIABLE_1527 BOUND_VARIABLE_1525))))))) (let ((_let_75 (not _let_73))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (or))) (let ((_let_78 (not _let_74))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_76) :args (_let_78))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_74))) (REFL :args (_let_75)) :args _let_77)) _let_76 :args (_let_75 true _let_74)))) (let ((_let_80 (REFL :args (_let_73)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 7)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_77)) :args ((or _let_51 _let_73))) _let_79 :args (_let_51 true _let_73)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 6)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_77)) :args ((or _let_53 _let_73))) _let_79 :args (_let_53 true _let_73)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 5)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_77)) :args ((or _let_55 _let_73))) _let_79 :args (_let_55 true _let_73)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 4)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_77)) :args ((or _let_57 _let_73))) _let_79 :args (_let_57 true _let_73)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 3)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_77)) :args ((or _let_59 _let_73))) _let_79 :args (_let_59 true _let_73)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 2)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_77)) :args ((or _let_61 _let_73))) _let_79 :args (_let_61 true _let_73)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 1)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_77)) :args ((or _let_63 _let_73))) _let_79 :args (_let_63 true _let_73)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 0)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_77)) :args ((or _let_65 _let_73))) _let_79 :args (_let_65 true _let_73)))) (let ((_let_89 (or _let_66 _let_64 _let_58 _let_56 _let_52 _let_72 _let_29))) (let ((_let_90 (forall ((A $$unsorted) (BOUND_VARIABLE_2072 $$unsorted) (BOUND_VARIABLE_2070 $$unsorted) (BOUND_VARIABLE_2068 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2068)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2068)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2072 A BOUND_VARIABLE_2068)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2070 (tptp.u1_cat_1 A))) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 BOUND_VARIABLE_2068) BOUND_VARIABLE_2072 (tptp.k10_cat_1 A BOUND_VARIABLE_2070)) (tptp.k10_cat_1 BOUND_VARIABLE_2068 (tptp.k13_cat_1 A BOUND_VARIABLE_2068 BOUND_VARIABLE_2072 BOUND_VARIABLE_2070))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((tptp.k13_cat_1 A BOUND_VARIABLE_2068 BOUND_VARIABLE_2072 BOUND_VARIABLE_2070)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 8)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_77)) :args ((or _let_71 _let_73))) _let_79 :args (_let_71 true _let_73)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_66 _let_64 _let_58 _let_56 _let_52 _let_72 _let_29 (not _let_89)))) _let_88 _let_87 _let_84 _let_83 _let_81 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_29 false _let_65 false _let_63 false _let_57 false _let_55 false _let_51 false _let_71 false _let_89)))) (let ((_let_96 (or _let_66 _let_64 _let_62 _let_60 _let_54 _let_72 _let_34))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_66 _let_64 _let_62 _let_60 _let_54 _let_72 _let_34 (not _let_96)))) _let_88 _let_87 _let_86 _let_85 _let_82 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_96 false _let_90)) :args (_let_34 false _let_65 false _let_63 false _let_61 false _let_59 false _let_53 false _let_71 false _let_96)))) (let ((_let_98 (tptp.m1_subset_1 _let_23 (tptp.u1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.m1_subset_1 _let_30 (tptp.u1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_62 _let_60 _let_58 _let_56 _let_101 _let_99 _let_39))) (let ((_let_103 (forall ((A $$unsorted) (BOUND_VARIABLE_2166 $$unsorted) (BOUND_VARIABLE_2164 $$unsorted) (BOUND_VARIABLE_2162 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2162)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2162)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2166 (tptp.u1_cat_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_2164 (tptp.u1_cat_1 BOUND_VARIABLE_2162))) (= (tptp.k10_cat_1 (tptp.k11_cat_2 A BOUND_VARIABLE_2162) (tptp.k12_cat_2 A BOUND_VARIABLE_2162 BOUND_VARIABLE_2166 BOUND_VARIABLE_2164)) (tptp.k13_cat_2 A BOUND_VARIABLE_2162 (tptp.k10_cat_1 A BOUND_VARIABLE_2166) (tptp.k10_cat_1 BOUND_VARIABLE_2162 BOUND_VARIABLE_2164))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (or _let_66 _let_64 _let_58 _let_56 _let_52 _let_72 _let_98))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m2_cat_1 C A B)) (not (tptp.m1_subset_1 D (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k13_cat_1 A B C D) (tptp.u1_cat_1 B)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 ((tptp.k13_cat_1 A B C D)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_66 _let_64 _let_58 _let_56 _let_52 _let_72 _let_98 (not _let_105)))) _let_88 _let_87 _let_84 _let_83 _let_81 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :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_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_105 false _let_106)) :args (_let_98 false _let_65 false _let_63 false _let_57 false _let_55 false _let_51 false _let_71 false _let_105)))) (let ((_let_111 (or _let_66 _let_64 _let_62 _let_60 _let_54 _let_72 _let_100))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_66 _let_64 _let_62 _let_60 _let_54 _let_72 _let_100 (not _let_111)))) _let_88 _let_87 _let_86 _let_85 _let_82 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_111 false _let_106)) :args (_let_100 false _let_65 false _let_63 false _let_61 false _let_59 false _let_53 false _let_71 false _let_111)))) (let ((_let_113 (not _let_42))) (let ((_let_114 (tptp.m1_subset_1 _let_36 (tptp.u1_cat_1 _let_37)))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.m2_cat_1 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.l1_cat_1 _let_37))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.v2_cat_1 _let_37))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_66 _let_64 _let_121 _let_119 _let_117 _let_72 _let_115 _let_113 _let_70))) (let ((_let_123 (forall ((A $$unsorted) (BOUND_VARIABLE_1982 $$unsorted) (BOUND_VARIABLE_1980 $$unsorted) (BOUND_VARIABLE_1978 $$unsorted) (BOUND_VARIABLE_1976 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_1976)) (not (tptp.l1_cat_1 BOUND_VARIABLE_1976)) (not (tptp.m2_cat_1 BOUND_VARIABLE_1982 A BOUND_VARIABLE_1976)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1978 (tptp.u1_cat_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1980 (tptp.u1_cat_1 BOUND_VARIABLE_1976))) (not (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 BOUND_VARIABLE_1976) BOUND_VARIABLE_1982 (tptp.k10_cat_1 A BOUND_VARIABLE_1978)) (tptp.k10_cat_1 BOUND_VARIABLE_1976 BOUND_VARIABLE_1980))) (= BOUND_VARIABLE_1980 (tptp.k13_cat_1 A BOUND_VARIABLE_1976 BOUND_VARIABLE_1982 BOUND_VARIABLE_1978)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (or _let_62 _let_60 _let_58 _let_56 _let_101 _let_99 _let_114))) (let ((_let_126 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m1_subset_1 C (tptp.u1_cat_1 A))) (not (tptp.m1_subset_1 D (tptp.u1_cat_1 B))) (tptp.m1_subset_1 (tptp.k12_cat_2 A B C D) (tptp.u1_cat_1 (tptp.k11_cat_2 A B))))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (or _let_66 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_116))) (let ((_let_129 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.v2_cat_1 C)) (not (tptp.l1_cat_1 C)) (not (tptp.m2_cat_1 D A B)) (not (tptp.m2_cat_1 E A C)) (tptp.m2_cat_1 (tptp.k10_isocat_2 A B C D E) A (tptp.k11_cat_2 B C)))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_66 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_116 (not _let_128)))) _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k10_isocat_2 A B C D E)))) :args (_let_129))) _let_130 :args (_let_128 false _let_129)) :args (_let_116 false _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_128)))) (let ((_let_132 (and _let_120 _let_118))) (let ((_let_133 (or _let_62 _let_60 _let_58 _let_56 _let_132))) (let ((_let_134 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_62 _let_60 _let_58 _let_56 _let_132 (not _let_133)))) _let_86 _let_85 _let_84 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k11_cat_2 A B)))) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_132 false _let_61 false _let_59 false _let_57 false _let_55 false _let_133)))) (let ((_let_137 (not _let_132))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 1)) :args ((or _let_118 _let_137))) _let_136 :args (_let_118 false _let_132)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 0)) :args ((or _let_120 _let_137))) _let_136 :args (_let_120 false _let_132)))) (let ((_let_140 (tptp.m1_subset_1 _let_24 _let_26))) (let ((_let_141 (not _let_140))) (let ((_let_142 (tptp.m1_subset_1 _let_31 _let_32))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_62 _let_60 _let_58 _let_56 _let_143 _let_141 _let_43))) (let ((_let_145 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m1_subset_1 C (tptp.u2_cat_1 A))) (not (tptp.m1_subset_1 D (tptp.u2_cat_1 B))) (= (tptp.k13_cat_2 A B C D) (tptp.k4_tarski C D)))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (tptp.k5_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_148 (= _let_24 _let_147))) (let ((_let_149 (tptp.m1_subset_1 _let_147 _let_26))) (let ((_let_150 (or _let_58 _let_56 _let_99 _let_148))) (let ((_let_151 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not 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(ASSUME :args (_let_148)))) (let ((_let_166 (ASSUME :args (_let_29)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (tptp.k5_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30))) (let ((_let_170 (= _let_31 _let_169))) (let ((_let_171 (tptp.m1_subset_1 _let_169 _let_32))) (let ((_let_172 (or _let_62 _let_60 _let_101 _let_170))) (let ((_let_173 (or _let_60 _let_101 _let_171))) (let ((_let_174 (not _let_34))) (let ((_let_175 (and _let_34 _let_171 _let_170))) (let ((_let_176 (ASSUME :args (_let_171)))) (let ((_let_177 (REFL :args (_let_32)))) (let ((_let_178 (ASSUME :args (_let_170)))) (let ((_let_179 (ASSUME :args (_let_34)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (tptp.m1_subset_1 _let_25 _let_27))) (let ((_let_183 (not _let_182))) (let ((_let_184 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_27 _let_26))) (let ((_let_185 (not _let_184))) (let ((_let_186 (tptp.v1_funct_2 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(tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (tptp.m1_subset_1 D (tptp.u2_cat_1 B))) (tptp.m1_subset_1 (tptp.k13_cat_2 A B C D) (tptp.u2_cat_1 (tptp.k11_cat_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_funct_3 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) _let_14 true true true true true true true _let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (tptp.m1_subset_1 D (tptp.u2_cat_1 A))))))) true true _let_12 (forall ((A $$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 $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u1_cat_1 A))))) _let_11 (exists ((A $$unsorted)) (tptp.l1_cat_1 A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (exists ((D $$unsorted)) (tptp.m1_cat_1 D A B C))))) (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 $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (exists ((C $$unsorted)) (tptp.m2_cat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$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)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.m1_subset_1 D (tptp.u1_cat_1 B))) (= (tptp.k12_cat_2 A B C D) (tptp.k4_tarski C D)))) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.89/1.12  )
% 0.89/1.12  % SZS output end Proof for CAT030+1
% 0.89/1.12  % cvc5---1.0.5 exiting
% 0.89/1.12  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------