TSTP Solution File: LAT374+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:04:32 EDT 2023
% Result : Theorem 32.89s 33.10s
% Output : Proof 32.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 05:40:44 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 32.89/33.10 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.f1VQVjJoXy/cvc5---1.0.5_18131.p...
% 32.89/33.10 ------- get file name : TPTP file name is LAT374+1
% 32.89/33.10 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18131.smt2...
% 32.89/33.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.89/33.10 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.89/33.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.89/33.10 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.89/33.10 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.89/33.10 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.89/33.10 % SZS status Theorem for LAT374+1
% 32.89/33.10 % SZS output start Proof for LAT374+1
% 32.89/33.10 (
% 32.89/33.10 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (tptp.l2_altcat_1 B))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.l1_altcat_1 A))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (tptp.l1_struct_0 A))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k9_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v3_altcat_2 B _let_1) (tptp.m1_altcat_2 B _let_1)) (= (= B (tptp.k9_waybel34 A)) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (tptp.m1_subset_1 C (tptp.u1_struct_0 B)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (= E C) (= F D)) (or (= (tptp.k1_altcat_1 (tptp.k5_waybel34 A) C D) tptp.k1_xboole_0) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k3_yellow21 _let_1 C))) (let ((_let_3 (tptp.k3_yellow21 _let_1 D))) (=> (tptp.m1_subset_1 G (tptp.k1_altcat_1 _let_1 C D)) (= (tptp.r2_hidden G (tptp.k1_altcat_1 B E F)) (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_3 _let_2 (tptp.k5_yellow21 _let_1 C D G)) _let_3 _let_2)))))))))))))))))))))))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.l2_altcat_1 B) (= (tptp.m1_altcat_2 B A) (and (tptp.r1_tarski _let_2 _let_1) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_altcat_1 B) (tptp.u1_altcat_1 A)) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_zfmisc_1 _let_1 _let_1 _let_1) (tptp.u2_altcat_1 B) (tptp.u2_altcat_1 A)))))))))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))))) (let ((_let_14 (not (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (= (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k9_waybel34 A))) (and (tptp.v1_orders_2 B) (tptp.v3_lattice3 B) (tptp.r2_hidden (tptp.u1_struct_0 B) A)))))))))) (let ((_let_15 (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k9_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_16 (tptp.k9_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.u1_struct_0 _let_16))) (let ((_let_18 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_19 (tptp.k5_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.u1_struct_0 _let_19))) (let ((_let_21 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_18))) (let ((_let_24 (and _let_15 (forall ((C $$unsorted) (BOUND_VARIABLE_3387 $$unsorted) (BOUND_VARIABLE_3385 $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.k5_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.k3_yellow21 _let_2 C))) (let ((_let_4 (tptp.k3_yellow21 _let_2 BOUND_VARIABLE_3385))) (let ((_let_5 (tptp.k1_altcat_1 _let_2 C BOUND_VARIABLE_3385))) (let ((_let_6 (tptp.u1_struct_0 _let_1))) (let ((_let_7 (tptp.u1_struct_0 _let_2))) (or (not (tptp.m1_subset_1 C _let_7)) (not (tptp.m1_subset_1 C _let_6)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3385 _let_7)) (= tptp.k1_xboole_0 _let_5) (not (tptp.m1_subset_1 BOUND_VARIABLE_3385 _let_6)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3387 _let_5)) (= (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_4 _let_3 (tptp.k5_yellow21 _let_2 C BOUND_VARIABLE_3385 BOUND_VARIABLE_3387)) _let_4 _let_3) (tptp.r2_hidden BOUND_VARIABLE_3387 (tptp.k1_altcat_1 _let_1 C BOUND_VARIABLE_3385))))))))))))))) (let ((_let_25 (tptp.m1_altcat_2 _let_16 _let_19))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.v3_altcat_2 _let_16 _let_19))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v6_altcat_1 _let_16))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v2_altcat_1 _let_16))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v3_struct_0 _let_16))) (let ((_let_34 (tptp.v2_setfam_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (or _let_34 _let_33 _let_32 _let_30 _let_28 _let_26 _let_24))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_3426 $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (or (tptp.v2_setfam_1 A) (tptp.v3_struct_0 BOUND_VARIABLE_3426) (not (tptp.v2_altcat_1 BOUND_VARIABLE_3426)) (not (tptp.v6_altcat_1 BOUND_VARIABLE_3426)) (not (tptp.v3_altcat_2 BOUND_VARIABLE_3426 _let_1)) (not (tptp.m1_altcat_2 BOUND_VARIABLE_3426 _let_1)) (= (and (forall ((C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k5_waybel34 A)))) (tptp.m1_subset_1 C (tptp.u1_struct_0 BOUND_VARIABLE_3426)))) (forall ((C $$unsorted) (BOUND_VARIABLE_3387 $$unsorted) (BOUND_VARIABLE_3385 $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k3_yellow21 _let_1 C))) (let ((_let_3 (tptp.k3_yellow21 _let_1 BOUND_VARIABLE_3385))) (let ((_let_4 (tptp.k1_altcat_1 _let_1 C BOUND_VARIABLE_3385))) (let ((_let_5 (tptp.u1_struct_0 BOUND_VARIABLE_3426))) (let ((_let_6 (tptp.u1_struct_0 _let_1))) (or (not (tptp.m1_subset_1 C _let_6)) (not (tptp.m1_subset_1 C _let_5)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3385 _let_6)) (= tptp.k1_xboole_0 _let_4) (not (tptp.m1_subset_1 BOUND_VARIABLE_3385 _let_5)) (not (tptp.m1_subset_1 BOUND_VARIABLE_3387 _let_4)) (= (tptp.v22_waybel_0 (tptp.k2_waybel34 _let_3 _let_2 (tptp.k5_yellow21 _let_1 C BOUND_VARIABLE_3385 BOUND_VARIABLE_3387)) _let_3 _let_2) (tptp.r2_hidden BOUND_VARIABLE_3387 (tptp.k1_altcat_1 BOUND_VARIABLE_3426 C BOUND_VARIABLE_3385)))))))))))) (= (tptp.k9_waybel34 A) BOUND_VARIABLE_3426))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (not _let_33))) (let ((_let_39 (and _let_38 _let_31 _let_29 _let_27 _let_25))) (let ((_let_40 (or _let_34 _let_39))) (let ((_let_41 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k9_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (and (tptp.v1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_44 (= _let_18 _let_43))) (let ((_let_45 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_34 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_44))) (let ((_let_58 (forall ((A $$unsorted) (BOUND_VARIABLE_2447 $$unsorted)) (or (tptp.v2_setfam_1 A) (not (tptp.v2_orders_2 BOUND_VARIABLE_2447)) (not (tptp.v3_orders_2 BOUND_VARIABLE_2447)) (not (tptp.v4_orders_2 BOUND_VARIABLE_2447)) (not (tptp.v1_lattice3 BOUND_VARIABLE_2447)) (not (tptp.v2_lattice3 BOUND_VARIABLE_2447)) (not (tptp.l1_orders_2 BOUND_VARIABLE_2447)) (= (tptp.m1_subset_1 BOUND_VARIABLE_2447 (tptp.u1_struct_0 (tptp.k9_waybel34 A))) (and (tptp.v1_orders_2 BOUND_VARIABLE_2447) (tptp.v3_lattice3 BOUND_VARIABLE_2447) (tptp.r2_hidden (tptp.u1_struct_0 BOUND_VARIABLE_2447) A))))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (not _let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_58))) (REFL :args (_let_59)) :args _let_61)) _let_60 :args (_let_59 true _let_58)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 0)) _let_63 :args ((not _let_34) true _let_57)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_34 _let_39 (not _let_40)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 true _let_34 false _let_40)))) (let ((_let_66 (not _let_39))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 4)) :args ((or _let_25 _let_66))) _let_65 :args (_let_25 false _let_39)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_38 _let_66))) _let_65 :args (_let_38 false _let_39)))) (let ((_let_69 (not _let_23))) (let ((_let_70 (= _let_43 _let_21))) (let ((_let_71 (or _let_34 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_70))) (let ((_let_72 (forall ((A $$unsorted) (BOUND_VARIABLE_4122 $$unsorted)) (or (tptp.v2_setfam_1 A) (not (tptp.v2_orders_2 BOUND_VARIABLE_4122)) (not (tptp.v3_orders_2 BOUND_VARIABLE_4122)) (not (tptp.v4_orders_2 BOUND_VARIABLE_4122)) (not (tptp.v1_lattice3 BOUND_VARIABLE_4122)) (not (tptp.v2_lattice3 BOUND_VARIABLE_4122)) (not (tptp.l1_orders_2 BOUND_VARIABLE_4122)) (= (tptp.m1_subset_1 BOUND_VARIABLE_4122 (tptp.u1_struct_0 (tptp.k5_waybel34 A))) (and (tptp.v1_orders_2 BOUND_VARIABLE_4122) (tptp.v3_lattice3 BOUND_VARIABLE_4122) (tptp.r2_hidden (tptp.u1_struct_0 BOUND_VARIABLE_4122) A))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (REFL :args (_let_57)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_34 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_70 (not _let_71)))) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_61)) :args ((or _let_55 _let_57))) _let_63 :args (_let_55 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 2)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_61)) :args ((or _let_53 _let_57))) _let_63 :args (_let_53 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 3)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_61)) :args ((or _let_51 _let_57))) _let_63 :args (_let_51 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 4)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_61)) :args ((or _let_49 _let_57))) _let_63 :args (_let_49 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 5)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_61)) :args ((or _let_47 _let_57))) _let_63 :args (_let_47 true _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 6)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_61)) :args ((or _let_45 _let_57))) _let_63 :args (_let_45 true _let_57)) 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((_let_87 (tptp.l1_struct_0 _let_16))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_33 _let_88 _let_86))) (let ((_let_90 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_16 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_93 (tptp.l1_altcat_1 _let_16))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_87))) (let ((_let_96 (forall ((A $$unsorted)) (or (not (tptp.l1_altcat_1 A)) (tptp.l1_struct_0 A))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (tptp.l2_altcat_1 _let_16))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_93))) (let ((_let_101 (forall ((A $$unsorted)) (or (not (tptp.l2_altcat_1 A)) (tptp.l1_altcat_1 A))))) (let ((_let_102 (EQ_RESOLVE (ASSUME 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 true _let_34 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v1_xboole_0 A) true))))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_108 true _let_109 false _let_110)) :args (_let_103 false _let_108)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_98 _let_26 _let_104 (not _let_105)))) _let_67 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_19 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_altcat_2 BOUND_VARIABLE_3586 A) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_98 false _let_25 false _let_103 false _let_105)))) (let ((_let_119 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (not _let_70))) (let ((_let_122 (_let_70))) (let ((_let_123 (tptp.r1_tarski _let_17 _let_20))) (let ((_let_124 (= _let_123 _let_81))) (let ((_let_125 (_let_2))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (and _let_123 (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 _let_17 _let_17) (tptp.k2_zfmisc_1 _let_20 _let_20) (tptp.u1_altcat_1 _let_16) (tptp.u1_altcat_1 _let_19)) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 _let_17 _let_17 _let_17) (tptp.k3_zfmisc_1 _let_20 _let_20 _let_20) (tptp.u2_altcat_1 _let_16) (tptp.u2_altcat_1 _let_19))))) (let ((_let_128 (= _let_25 _let_127))) (let ((_let_129 (or _let_104 _let_99 _let_128))) (let ((_let_130 (forall ((A $$unsorted) (BOUND_VARIABLE_3234 $$unsorted)) (let ((_let_1 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(REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_21 _let_83 _let_82 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_132))) _let_133 :args (_let_84 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_124)) :args ((or (not _let_123) _let_81 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_127 0)) :args ((or _let_123 (not _let_127)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_128)) :args ((or _let_26 _let_127 (not _let_128)))) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_99 _let_104 _let_128 (not _let_129)))) _let_118 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_19 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m1_altcat_2 BOUND_VARIABLE_3234 A)))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_128 false _let_98 false _let_103 false _let_129)) :args (_let_127 false _let_25 false _let_128)) :args (_let_123 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_17 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_tarski A B)))) :args _let_125))) _let_126 :args (_let_124 false _let_2)) :args (_let_81 false _let_123 false _let_124)) (REORDERING (CNF_EQUIV_POS2 :args _let_122) :args ((or _let_43 _let_22 _let_121))) _let_75 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_77 _let_78 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_subset_1 A B) false))))) :args (_let_119))) _let_120 :args (_let_80 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_33 _let_86 _let_88 (not _let_89)))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_87 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_93 (not _let_100)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l2_altcat_1 A) false))))) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_93 false _let_98 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_92) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_87 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_92) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_86 true _let_33 false _let_87 false _let_89)) (CNF_EQUIV_NEG2 :args _let_85) _let_76 :args (_let_79 false _let_84 false _let_81 true _let_21 false _let_70 false _let_78 false _let_80 true _let_77 true _let_43 true _let_44)))) (let ((_let_135 (_let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_135) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_18 _let_22 _let_69))) _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_122) :args ((or (not _let_43) _let_21 _let_121))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_85) :args ((or _let_18 _let_43 _let_44))) _let_134 _let_76 :args (_let_43 true _let_18 true _let_44)) _let_75 :args (_let_21 false _let_43 false _let_70)) :args (_let_69 true _let_18 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_15 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_32 _let_30 _let_28 _let_26 _let_24 (not _let_35)))) _let_64 _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_31 _let_66))) _let_65 :args (_let_31 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 2)) :args ((or _let_29 _let_66))) _let_65 :args (_let_29 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 3)) :args ((or _let_27 _let_66))) _let_65 :args (_let_27 false _let_39)) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v3_altcat_2 BOUND_VARIABLE_3426 (tptp.k5_waybel34 A)) false))))) :args (_let_36)))) _let_37 :args (_let_35 false _let_36)) :args (_let_24 true _let_34 true _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_35)) :args (_let_15 false _let_24)) :args (false true _let_23 false _let_15)) :args (_let_14 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (=> (tptp.v6_altcat_1 A) (= A (tptp.g2_altcat_1 (tptp.u1_struct_0 A) (tptp.u1_altcat_1 A) (tptp.u2_altcat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v3_lattice3 A)) (and _let_2 _let_1 (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_orders_2 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_2 _let_1 (tptp.v1_yellow_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B) (tptp.v3_yellow21 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_orders_2 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_3 _let_2 _let_1 (tptp.v2_lattice3 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v22_waybel_0 C A B)) (and (not (tptp.v1_xboole_0 C)) _let_4 _let_3 (tptp.v5_orders_3 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_yellow21 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow21 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v25_waybel_0 A))) (let ((_let_2 (tptp.v24_waybel_0 A))) (let ((_let_3 (tptp.v2_yellow_0 A))) (let ((_let_4 (tptp.v4_orders_2 A))) (let ((_let_5 (tptp.v3_orders_2 A))) (let ((_let_6 (tptp.v2_orders_2 A))) (let ((_let_7 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (and _let_7 _let_6 _let_5 _let_4 (tptp.v1_yellow_0 A) _let_3 (tptp.v3_yellow_0 A) _let_2 _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v12_altcat_1 A)) (and _let_1 (tptp.v1_altcat_2 A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) _let_13 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow21 A)) (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v3_yellow_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v3_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_2 _let_1) (and _let_2 _let_1 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v1_yellow21 B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_lattice3 A))) (let ((_let_2 (tptp.v2_orders_2 A))) (=> (tptp.l1_orders_2 A) (=> (and _let_2 _let_1 (tptp.v24_waybel_0 A)) (and (not (tptp.v3_struct_0 A)) _let_2 _let_1 (tptp.v2_yellow_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B)))))))))) _let_12 _let_11 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_yellow21 A B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_altcat_1 A B C))) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (and (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) true true (forall ((A $$unsorted)) (tptp.l1_struct_0 (tptp.k1_yellow21 A))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m1_pboole (tptp.k2_altcat_1 A B) (tptp.k3_zfmisc_1 A A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_pboole B _let_1) (tptp.m1_pboole C _let_1)) (tptp.m1_pboole (tptp.k3_altcat_1 A B C) (tptp.k3_zfmisc_1 A A A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (and (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.l1_orders_2 _let_1))))) true _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_yellow21 A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.k3_yellow21 A B))) (let ((_let_4 (tptp.u1_struct_0 _let_3))) (let ((_let_5 (tptp.k5_yellow21 A B C D))) (let ((_let_6 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B _let_6) (tptp.m1_subset_1 C _let_6) (tptp.m1_subset_1 D (tptp.k1_altcat_1 A B C))) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_2) (tptp.v5_orders_3 _let_5 _let_3 _let_1) (tptp.m2_relset_1 _let_5 _let_4 _let_2)))))))))) _let_9 _let_8 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 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 $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_altcat_1 A) (tptp.m1_pboole (tptp.u1_altcat_1 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l2_altcat_1 A) (tptp.m3_pboole (tptp.u2_altcat_1 A) (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_altcat_1 _let_2 _let_1 _let_1) (tptp.k2_altcat_1 _let_2 _let_1)))))) (exists ((A $$unsorted)) (tptp.l1_altcat_1 A)) (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_altcat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (exists ((B $$unsorted)) (tptp.m1_altcat_2 B A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_pboole B A))) (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) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (exists ((D $$unsorted)) (tptp.m3_pboole D A B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v24_waybel_0 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v24_waybel_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 A B B))))) _let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))) (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_relset_1 B A A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_orders_2 A B) (tptp.g1_orders_2 C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_altcat_1 A B C) (tptp.g2_altcat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v5_orders_3 C A B))))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A) (tptp.v2_yellow21 A) (tptp.v3_yellow21 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k3_yellow21 A B) (tptp.k1_yellow21 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_pboole C A) (tptp.m1_pboole D B)) (= (tptp.r2_altcat_2 A B C D) (tptp.r1_altcat_2 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_altcat_2 A A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_pboole C A) (tptp.m1_pboole D B)) (tptp.r2_altcat_2 A B C C))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_3 _let_2 _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.89/33.11 )
% 32.89/33.11 % SZS output end Proof for LAT374+1
% 32.89/33.11 % cvc5---1.0.5 exiting
% 32.89/33.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------