%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 18:14:43 EDT 2023

% Result   : Theorem 0.17s 0.71s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : CAT027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Aug 27 01:13:18 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.17/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.71  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XSb9nzKVbI/cvc5---1.0.5_3947.p...
% 0.17/0.71  ------- get file name : TPTP file name is CAT027+1
% 0.17/0.71  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3947.smt2...
% 0.17/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.71  % SZS status Theorem for CAT027+1
% 0.17/0.71  % SZS output start Proof for CAT027+1
% 0.17/0.71  (
% 0.17/0.71  (let ((_let_1 (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 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m2_cat_1 E B C) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k6_isocat_1 A B C D D (tptp.k7_nattra_1 A B D) E) (tptp.k7_nattra_1 A C (tptp.k2_isocat_1 A B C D E))))))))))))))))) (let ((_let_2 (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k14_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 C D E F (tptp.k9_isocat_2 B C)))))))))))))))))) (let ((_let_3 (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A (tptp.k11_cat_2 B C)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_nattra_1 F A _let_1 D E) (= (tptp.k13_isocat_2 A B C D E F) (tptp.k6_isocat_1 A _let_1 B D E F (tptp.k8_isocat_2 B C)))))))))))))))))) (let ((_let_4 (forall ((A $$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)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k12_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 C D (tptp.k9_isocat_2 B C)))))))))))))) (let ((_let_5 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (tptp.m2_cat_1 D A _let_1) (= (tptp.k11_isocat_2 A B C D) (tptp.k2_isocat_1 A _let_1 B D (tptp.k8_isocat_2 B C)))))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u1_cat_1 A))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$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.m2_nattra_1 (tptp.k7_nattra_1 A B C) A B C C))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (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 _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k14_isocat_2 A B C D E F) A C (tptp.k12_isocat_2 A B C D) (tptp.k12_isocat_2 A B C E))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (=> (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 _let_1) (tptp.m2_cat_1 E A _let_1) (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k13_isocat_2 A B C D E F) A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E))))))) (let ((_let_11 (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.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k12_isocat_2 A B C D) A C))))) (let ((_let_12 (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.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k11_isocat_2 A B C D) A B))))) (let ((_let_13 (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_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (=> (tptp.r4_nattra_1 A B C D E F) (tptp.r4_nattra_1 A B C D F E)))))) (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.m2_cat_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m2_nattra_1 E A B C D) (tptp.m1_nattra_1 E A B C D))))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_isocat_2 A B) (tptp.k11_cat_2 A B) B))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k8_isocat_2 A B) (tptp.k11_cat_2 A B) A))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_19 (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.m2_cat_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_nattra_1 E A B C D) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)))))))))) (let ((_let_20 (not (forall ((A $$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)) (let ((_let_1 (tptp.k11_cat_2 B C))) (let ((_let_2 (tptp.k7_nattra_1 A _let_1 D))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.u2_cat_1 B))) (=> (tptp.m2_cat_1 D A _let_1) (and (tptp.r4_nattra_1 _let_4 _let_5 _let_4 _let_5 (tptp.k7_nattra_1 A B (tptp.k11_isocat_2 A B C D)) (tptp.k13_isocat_2 A B C D D _let_2)) (tptp.r4_nattra_1 _let_4 _let_3 _let_4 _let_3 (tptp.k7_nattra_1 A C (tptp.k12_isocat_2 A B C D)) (tptp.k14_isocat_2 A B C D D _let_2))))))))))))))))))) (let ((_let_21 (tptp.u2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (tptp.u1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.k11_cat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.k7_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.k13_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24))) (let ((_let_26 (tptp.m2_relset_1 _let_25 _let_22 _let_21))) (let ((_let_27 (tptp.m1_relset_1 _let_25 _let_22 _let_21))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (_let_18))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((tptp.m1_relset_1 C A B)))) (let ((_let_32 (tptp.v1_funct_2 _let_25 _let_22 _let_21))) (let ((_let_33 (tptp.v1_funct_1 _let_25))) (let ((_let_34 (and _let_33 _let_32 _let_26))) (let ((_let_35 (tptp.k11_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (tptp.m1_nattra_1 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.m2_cat_1 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_39 _let_37 _let_34))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1710 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (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.m2_cat_1 D A B)) (not (tptp.m1_nattra_1 BOUND_VARIABLE_1710 A B C D)) (and (tptp.v1_funct_1 BOUND_VARIABLE_1710) (tptp.v1_funct_2 BOUND_VARIABLE_1710 _let_2 _let_1) (tptp.m2_relset_1 BOUND_VARIABLE_1710 _let_2 _let_1)))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((not (= (tptp.m1_nattra_1 BOUND_VARIABLE_1710 A B C D) false))))) (let ((_let_53 (tptp.m2_nattra_1 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_39 _let_54 _let_36))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (BOUND_VARIABLE_1871 $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.m2_cat_1 C A B)) (not (tptp.m2_cat_1 D A B)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_1871 A B C D)) (tptp.m1_nattra_1 BOUND_VARIABLE_1871 A B C D))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((not (= (tptp.m2_nattra_1 BOUND_VARIABLE_1871 A B C D) false))))) (let ((_let_60 (tptp.m2_nattra_1 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.m2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.l1_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.v2_cat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_63 _let_61 _let_53))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 B C))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (not (tptp.v2_cat_1 C)) (not (tptp.l1_cat_1 C)) (not (tptp.m2_cat_1 D A _let_1)) (not (tptp.m2_cat_1 E A _let_1)) (not (tptp.m2_nattra_1 F A _let_1 D E)) (tptp.m2_nattra_1 (tptp.k13_isocat_2 A B C D E F) A B (tptp.k11_isocat_2 A B C D) (tptp.k11_isocat_2 A B C E))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (tptp.l1_cat_1 _let_23))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.v2_cat_1 _let_23))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_47 _let_45 _let_74 _let_72 _let_63 _let_60))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted) (C $$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)) (tptp.m2_nattra_1 (tptp.k7_nattra_1 A B C) A B C C))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (and _let_73 _let_71))) (let ((_let_80 (or _let_43 _let_41 _let_67 _let_65 _let_79))) (let ((_let_81 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (or (not 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(_let_55 false _let_56)) :args (_let_36 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_34 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_48)))) (let ((_let_116 (not _let_34))) (let ((_let_117 (tptp.r4_nattra_1 _let_22 _let_21 _let_22 _let_21 _let_25 _let_88))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.m1_relset_1 _let_88 _let_22 _let_21))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.v1_funct_2 _let_88 _let_22 _let_21))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.v1_funct_1 _let_88))) (let ((_let_124 (not _let_123))) (let ((_let_125 (not _let_27))) (let ((_let_126 (not 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_136 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_135))) (let ((_let_137 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24 _let_135))) (let ((_let_138 (tptp.r4_nattra_1 _let_22 _let_21 _let_22 _let_21 _let_137 (tptp.k7_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_136)))) (let ((_let_139 (= _let_25 _let_137))) (let ((_let_140 (= _let_35 _let_136))) (let ((_let_141 (tptp.m2_cat_1 _let_135 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_47 _let_45 _let_74 _let_72 _let_43 _let_41 _let_63 _let_142 _let_138))) (let ((_let_144 (forall ((A $$unsorted) (BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2701 $$unsorted) (BOUND_VARIABLE_2699 $$unsorted) (BOUND_VARIABLE_2697 $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 BOUND_VARIABLE_2703))) (let ((_let_2 (tptp.u1_cat_1 A))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2697)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2697)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2703)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2703)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2699 A BOUND_VARIABLE_2697)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2701 BOUND_VARIABLE_2697 BOUND_VARIABLE_2703)) (tptp.r4_nattra_1 _let_2 _let_1 _let_2 _let_1 (tptp.k6_isocat_1 A BOUND_VARIABLE_2697 BOUND_VARIABLE_2703 BOUND_VARIABLE_2699 BOUND_VARIABLE_2699 (tptp.k7_nattra_1 A BOUND_VARIABLE_2697 BOUND_VARIABLE_2699) BOUND_VARIABLE_2701) (tptp.k7_nattra_1 A BOUND_VARIABLE_2703 (tptp.k2_isocat_1 A BOUND_VARIABLE_2697 BOUND_VARIABLE_2703 BOUND_VARIABLE_2699 BOUND_VARIABLE_2701))))))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (_let_144))) (let ((_let_147 ((tptp.k6_isocat_1 A BOUND_VARIABLE_2697 BOUND_VARIABLE_2703 BOUND_VARIABLE_2699 BOUND_VARIABLE_2699 (tptp.k7_nattra_1 A BOUND_VARIABLE_2697 BOUND_VARIABLE_2699) BOUND_VARIABLE_2701)))) (let ((_let_148 (or _let_43 _let_41 _let_67 _let_65 _let_141))) (let ((_let_149 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k8_isocat_2 A B) (tptp.k11_cat_2 A B) A))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_63 _let_61 _let_139))) (let ((_let_152 (forall ((A $$unsorted) (BOUND_VARIABLE_2425 $$unsorted) (BOUND_VARIABLE_2423 $$unsorted) (BOUND_VARIABLE_2421 $$unsorted) (BOUND_VARIABLE_2419 $$unsorted) (BOUND_VARIABLE_2417 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2417 BOUND_VARIABLE_2425))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2417)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2417)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2425)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2425)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2419 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2423 A _let_1)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_2421 A _let_1 BOUND_VARIABLE_2419 BOUND_VARIABLE_2423)) (= (tptp.k13_isocat_2 A BOUND_VARIABLE_2417 BOUND_VARIABLE_2425 BOUND_VARIABLE_2419 BOUND_VARIABLE_2423 BOUND_VARIABLE_2421) (tptp.k6_isocat_1 A _let_1 BOUND_VARIABLE_2417 BOUND_VARIABLE_2419 BOUND_VARIABLE_2423 BOUND_VARIABLE_2421 (tptp.k8_isocat_2 BOUND_VARIABLE_2417 BOUND_VARIABLE_2425)))))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_140))) (let ((_let_155 (forall ((A $$unsorted) (BOUND_VARIABLE_2187 $$unsorted) (BOUND_VARIABLE_2185 $$unsorted) (BOUND_VARIABLE_2183 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2183 BOUND_VARIABLE_2187))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2183)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2183)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2187)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2187)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2185 A _let_1)) (= (tptp.k11_isocat_2 A BOUND_VARIABLE_2183 BOUND_VARIABLE_2187 BOUND_VARIABLE_2185) (tptp.k2_isocat_1 A _let_1 BOUND_VARIABLE_2183 BOUND_VARIABLE_2185 (tptp.k8_isocat_2 BOUND_VARIABLE_2183 BOUND_VARIABLE_2187)))))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (and _let_140 _let_139 _let_138))) (let ((_let_158 (ASSUME :args (_let_138)))) (let ((_let_159 (APPLY_UF tptp.r4_nattra_1))) (let ((_let_160 (APPLY_UF tptp.k7_nattra_1))) (let ((_let_161 (ASSUME :args (_let_140)))) (let ((_let_162 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_163 (ASSUME :args (_let_139)))) (let ((_let_164 (REFL :args (_let_21)))) (let ((_let_165 (REFL :args (_let_22)))) (let ((_let_166 (tptp.m2_relset_1 _let_88 _let_22 _let_21))) (let ((_let_167 (= _let_119 _let_166))) (let ((_let_168 (and _let_123 _let_121 _let_166))) (let ((_let_169 (tptp.m1_nattra_1 _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_39 _let_170 _let_168))) (let ((_let_172 (tptp.m2_nattra_1 _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_39 _let_173 _let_169))) (let ((_let_175 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_172))) (let ((_let_176 ((tptp.k7_nattra_1 A B C)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_171))) :args ((or _let_47 _let_45 _let_43 _let_41 _let_39 _let_170 _let_168 (not _let_171)))) _let_109 _let_108 _let_102 _let_101 _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_174))) :args ((or _let_47 _let_45 _let_43 _let_41 _let_39 _let_173 _let_169 (not _let_174)))) _let_109 _let_108 _let_102 _let_101 _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_47 _let_45 _let_43 _let_41 _let_39 _let_172 (not _let_175)))) _let_109 _let_108 _let_102 _let_101 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_78)) _let_77 :args (_let_175 false _let_76)) :args (_let_172 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35 _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_174 false _let_56)) :args (_let_169 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_172 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_35 _let_35 _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_171 false _let_49)) :args (_let_168 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_169 false _let_171)))) (let ((_let_178 (not _let_168))) (let ((_let_179 (not _let_128))) (let ((_let_180 (or _let_41 _let_179))) (let ((_let_181 (forall ((A $$unsorted)) (or (not (tptp.l1_cat_1 A)) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (_let_181))) (let ((_let_184 ((not (= (tptp.l1_cat_1 A) false))))) (let ((_let_185 (not _let_129))) (let ((_let_186 (or _let_45 _let_185))) (let ((_let_187 (forall ((A $$unsorted)) (or (not (tptp.l1_cat_1 A)) (not (tptp.v1_xboole_0 (tptp.u1_cat_1 A))))))) (let ((_let_188 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_45 _let_185 (not _let_186)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_cat_1 A) false))))) :args (_let_187))) _let_188 :args (_let_186 false _let_187)) :args (_let_185 false _let_44 false _let_186)))) (let ((_let_190 (tptp.r4_nattra_1 _let_22 _let_86 _let_22 _let_86 _let_83 _let_85))) (let ((_let_191 (not _let_190))) (let ((_let_192 (tptp.m1_relset_1 _let_85 _let_22 _let_86))) (let ((_let_193 (not _let_192))) (let ((_let_194 (tptp.v1_funct_2 _let_85 _let_22 _let_86))) (let ((_let_195 (not _let_194))) (let ((_let_196 (tptp.v1_funct_1 _let_85))) (let ((_let_197 (not _let_196))) (let ((_let_198 (tptp.m1_relset_1 _let_83 _let_22 _let_86))) (let ((_let_199 (not _let_198))) (let ((_let_200 (tptp.v1_funct_2 _let_83 _let_22 _let_86))) (let ((_let_201 (not _let_200))) (let ((_let_202 (tptp.v1_funct_1 _let_83))) (let ((_let_203 (not _let_202))) (let ((_let_204 (tptp.v1_xboole_0 _let_86))) (let ((_let_205 (or _let_129 _let_204 _let_129 _let_204 _let_203 _let_201 _let_199 _let_197 _let_195 _let_193 _let_191 _let_87))) (let ((_let_206 (tptp.k9_isocat_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_207 (tptp.k2_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_206))) (let ((_let_208 (tptp.k6_isocat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24 _let_206))) (let ((_let_209 (tptp.r4_nattra_1 _let_22 _let_86 _let_22 _let_86 _let_208 (tptp.k7_nattra_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_207)))) (let ((_let_210 (= _let_83 _let_208))) (let ((_let_211 (= _let_84 _let_207))) (let ((_let_212 (tptp.m2_cat_1 _let_206 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_213 (not _let_212))) (let ((_let_214 (or _let_47 _let_45 _let_74 _let_72 _let_67 _let_65 _let_63 _let_213 _let_209))) (let ((_let_215 (or _let_43 _let_41 _let_67 _let_65 _let_212))) (let ((_let_216 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 B)) (not (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_isocat_2 A B) (tptp.k11_cat_2 A B) B))))) (let ((_let_217 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_218 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_63 _let_61 _let_210))) (let ((_let_219 (forall ((A $$unsorted) (BOUND_VARIABLE_2578 $$unsorted) (BOUND_VARIABLE_2576 $$unsorted) (BOUND_VARIABLE_2574 $$unsorted) (BOUND_VARIABLE_2572 $$unsorted) (BOUND_VARIABLE_2570 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2570 BOUND_VARIABLE_2578))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2570)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2570)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2578)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2578)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2572 A _let_1)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2576 A _let_1)) (not (tptp.m2_nattra_1 BOUND_VARIABLE_2574 A _let_1 BOUND_VARIABLE_2572 BOUND_VARIABLE_2576)) (= (tptp.k14_isocat_2 A BOUND_VARIABLE_2570 BOUND_VARIABLE_2578 BOUND_VARIABLE_2572 BOUND_VARIABLE_2576 BOUND_VARIABLE_2574) (tptp.k6_isocat_1 A _let_1 BOUND_VARIABLE_2578 BOUND_VARIABLE_2572 BOUND_VARIABLE_2576 BOUND_VARIABLE_2574 (tptp.k9_isocat_2 BOUND_VARIABLE_2570 BOUND_VARIABLE_2578)))))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_221 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_211))) (let ((_let_222 (forall ((A $$unsorted) (BOUND_VARIABLE_2276 $$unsorted) (BOUND_VARIABLE_2274 $$unsorted) (BOUND_VARIABLE_2272 $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 BOUND_VARIABLE_2272 BOUND_VARIABLE_2276))) (or (not (tptp.v2_cat_1 A)) (not (tptp.l1_cat_1 A)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2272)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2272)) (not (tptp.v2_cat_1 BOUND_VARIABLE_2276)) (not (tptp.l1_cat_1 BOUND_VARIABLE_2276)) (not (tptp.m2_cat_1 BOUND_VARIABLE_2274 A _let_1)) (= (tptp.k12_isocat_2 A BOUND_VARIABLE_2272 BOUND_VARIABLE_2276 BOUND_VARIABLE_2274) (tptp.k2_isocat_1 A _let_1 BOUND_VARIABLE_2276 BOUND_VARIABLE_2274 (tptp.k9_isocat_2 BOUND_VARIABLE_2272 BOUND_VARIABLE_2276)))))))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_224 (and _let_211 _let_210 _let_209))) (let ((_let_225 (ASSUME :args (_let_209)))) (let ((_let_226 (ASSUME :args (_let_211)))) (let ((_let_227 (ASSUME :args (_let_210)))) (let ((_let_228 (REFL :args (_let_86)))) (let ((_let_229 (tptp.m2_relset_1 _let_85 _let_22 _let_86))) (let ((_let_230 (= _let_192 _let_229))) (let ((_let_231 (and _let_196 _let_194 _let_229))) (let ((_let_232 (tptp.m1_nattra_1 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_84 _let_84))) (let ((_let_233 (not _let_232))) (let ((_let_234 (tptp.m2_cat_1 _let_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_235 (not _let_234))) (let ((_let_236 (or _let_47 _let_45 _let_67 _let_65 _let_235 _let_235 _let_233 _let_231))) (let ((_let_237 (tptp.m2_nattra_1 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_84 _let_84))) (let ((_let_238 (not _let_237))) (let ((_let_239 (or _let_47 _let_45 _let_67 _let_65 _let_235 _let_235 _let_238 _let_232))) (let ((_let_240 (or _let_47 _let_45 _let_67 _let_65 _let_235 _let_237))) (let ((_let_241 (or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_234))) (let ((_let_242 (forall ((A $$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.v2_cat_1 C)) (not (tptp.l1_cat_1 C)) (not (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C))) (tptp.m2_cat_1 (tptp.k12_isocat_2 A B C D) A C))))) (let ((_let_243 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_244 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_241)) :args ((or _let_47 _let_45 _let_43 _let_41 _let_67 _let_65 _let_63 _let_234 (not _let_241)))) _let_109 _let_108 _let_102 _let_101 _let_100 _let_99 _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m2_cat_1 D A (tptp.k11_cat_2 B C)) false))))) :args (_let_242))) _let_243 :args (_let_241 false _let_242)) :args (_let_234 false _let_46 false _let_44 false _let_42 false _let_40 false _let_66 false _let_64 false _let_62 false _let_241)))) (let ((_let_245 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_236))) :args ((or _let_47 _let_45 _let_67 _let_65 _let_235 _let_233 _let_231 (not _let_236)))) _let_109 _let_108 _let_100 _let_99 _let_244 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_239))) :args ((or _let_47 _let_45 _let_67 _let_65 _let_235 _let_238 _let_232 (not _let_239)))) _let_109 _let_108 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_23 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_146)) _let_145 :args (_let_143 false _let_144)) :args (_let_138 false _let_46 false _let_44 false _let_42 false _let_40 false _let_62 false _let_73 false _let_71 false _let_141 false _let_143)) :args (_let_117 false _let_140 false _let_139 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_22 _let_21 _let_22 _let_21 _let_25 _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_133)) _let_132 :args (_let_130 false _let_131)) :args (_let_125 true _let_89 true _let_129 true _let_128 false _let_33 false _let_32 false _let_123 false _let_121 false _let_119 false _let_117 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 2)) :args ((or _let_26 _let_116))) _let_115 :args (_let_26 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_22 _let_21 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29))) _let_30 :args (_let_28 false _let_18)) :args (false true _let_27 false _let_26 false _let_28)) :args (_let_20 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m1_nattra_1 E A B C D)))) (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)) (tptp.m2_cat_1 (tptp.k16_cat_2 A B) (tptp.k11_cat_2 A 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)) (tptp.m2_cat_1 (tptp.k17_cat_2 A B) (tptp.k11_cat_2 A B) B))) true true true _let_19 true (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)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (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)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$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)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m2_cat_1 D A B)) (exists ((E $$unsorted)) (tptp.m2_nattra_1 E A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k8_isocat_2 A B) (tptp.k16_cat_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k9_isocat_2 A B) (tptp.k17_cat_2 A B)))) _let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$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_nattra_1 (tptp.k4_nattra_1 A B C) A B C C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) _let_17 _let_16 true _let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$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)))) _let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (tptp.r4_nattra_1 A B C D E E))) (exists ((A $$unsorted)) (tptp.l1_cat_1 A)) (forall ((A $$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) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (= (tptp.k2_isocat_1 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$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.k7_nattra_1 A B C) (tptp.k4_nattra_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m1_relset_1 F C D)) (= (tptp.r4_nattra_1 A B C D E F) (= E F)))) _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (tptp.m2_cat_1 (tptp.k2_isocat_1 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$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 B) (tptp.m2_nattra_1 F A B D E) (tptp.m2_cat_1 G B C)) (tptp.m2_nattra_1 (tptp.k6_isocat_1 A B C D E F G) A C (tptp.k2_isocat_1 A B C D G) (tptp.k2_isocat_1 A B C E G)))) _let_8 true (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_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.71  )
% 0.17/0.71  % SZS output end Proof for CAT027+1
% 0.17/0.71  % cvc5---1.0.5 exiting
% 0.17/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------