TSTP Solution File: LAT356+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 06:04:21 EDT 2023
% Result : Theorem 0.60s 0.81s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Thu Aug 24 09:25:40 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.60/0.81 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xmFMarl1ph/cvc5---1.0.5_24352.p...
% 0.60/0.81 ------- get file name : TPTP file name is LAT356+1
% 0.60/0.81 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24352.smt2...
% 0.60/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.60/0.81 % SZS status Theorem for LAT356+1
% 0.60/0.81 % SZS output start Proof for LAT356+1
% 0.60/0.81 (
% 0.60/0.81 (let ((_let_1 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A A _let_1 _let_1) A A)))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v17_waybel_0 _let_1 A A) (tptp.v18_waybel_0 _let_1 A A) (tptp.v19_waybel_0 _let_1 A A) (tptp.v20_waybel_0 _let_1 A A) (tptp.v21_waybel_0 _let_1 A A) (tptp.v22_waybel_0 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v23_waybel_0 _let_1 A A)))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (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)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 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)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v18_waybel_0 C B A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k2_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B D C) A B))))))))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (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)) (forall ((B $$unsorted)) (=> (and (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (tptp.v3_lattice3 A) (tptp.v3_lattice3 B) (tptp.v17_waybel_0 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k1_waybel34 A B C)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))))))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v1_lattice3 A) (not (tptp.v3_struct_0 A))))))) (let ((_let_9 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (= (tptp.k1_waybel34 A A _let_1) _let_1) (= (tptp.k2_waybel34 A A _let_1) _let_1)))))))) (let ((_let_10 (tptp.k7_grcat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (= _let_10 (tptp.k2_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10)))) (let ((_let_12 (= _let_10 (tptp.k1_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10)))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.v3_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15 _let_13))) (let ((_let_29 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_lattice3 A)) (not (tptp.l1_orders_2 A)) (and (= _let_1 (tptp.k1_waybel34 A A _let_1)) (= _let_1 (tptp.k2_waybel34 A A _let_1)))))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (tptp.v3_waybel_1 (tptp.k1_waybel_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (= _let_12 _let_35))) (let ((_let_37 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (tptp.m2_relset_1 _let_10 _let_37 _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v1_funct_2 _let_10 _let_37 _let_37))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v1_funct_1 _let_10))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v17_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_27 _let_25 _let_23 _let_21 _let_19 _let_15 _let_17 _let_27 _let_25 _let_23 _let_21 _let_19 _let_15 _let_17 _let_43 _let_41 _let_39 _let_45 _let_43 _let_41 _let_39 _let_36))) (let ((_let_47 (forall ((A $$unsorted) (BOUND_VARIABLE_3466 $$unsorted) (BOUND_VARIABLE_3464 $$unsorted) (BOUND_VARIABLE_3462 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_3462))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v3_lattice3 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_3462)) (not (tptp.v3_orders_2 BOUND_VARIABLE_3462)) (not (tptp.v4_orders_2 BOUND_VARIABLE_3462)) (not (tptp.v1_lattice3 BOUND_VARIABLE_3462)) (not (tptp.v2_lattice3 BOUND_VARIABLE_3462)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3462)) (not (tptp.v3_lattice3 BOUND_VARIABLE_3462)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3466)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3466 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3466 _let_1 _let_2)) (not (tptp.v17_waybel_0 BOUND_VARIABLE_3466 A BOUND_VARIABLE_3462)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3464)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3464 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3464 _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_3462 BOUND_VARIABLE_3466 BOUND_VARIABLE_3464) A BOUND_VARIABLE_3462) (= BOUND_VARIABLE_3464 (tptp.k1_waybel34 A BOUND_VARIABLE_3462 BOUND_VARIABLE_3466))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (and _let_42 _let_40 _let_38))) (let ((_let_50 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (or (not (tptp.l1_struct_0 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or _let_15 _let_50))) (let ((_let_56 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (REFL :args (_let_28)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 6)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_32)) :args ((or _let_14 _let_28))) _let_34 :args (_let_14 true _let_28)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 2)) :args ((or _let_38 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_15 _let_50 (not _let_55)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_50 false _let_14 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k7_grcat_1 A)))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_49 false _let_50 false _let_52)) :args (_let_38 false _let_49)))) (let ((_let_61 (tptp.v23_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (tptp.v18_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (tptp.v1_relat_1 _let_10))) (let ((_let_64 (and _let_63 _let_42 (tptp.v2_funct_1 _let_10) (not (tptp.v1_xboole_0 _let_10)) _let_40 (tptp.v1_partfun1 _let_10 _let_37 _let_37) (tptp.v11_quantal1 _let_10) (tptp.v5_orders_3 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_44 _let_62 (tptp.v19_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v20_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v21_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v22_waybel_0 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_61 (tptp.v6_waybel_1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v7_waybel_1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v8_waybel_1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (or _let_65 _let_27 _let_15 _let_64))) (let ((_let_67 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v11_quantal1 _let_1) (tptp.v5_orders_3 _let_1 A A) (tptp.v17_waybel_0 _let_1 A A) (tptp.v18_waybel_0 _let_1 A A) (tptp.v19_waybel_0 _let_1 A A) (tptp.v20_waybel_0 _let_1 A A) (tptp.v21_waybel_0 _let_1 A A) (tptp.v22_waybel_0 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (not _let_65))) (let ((_let_70 (or _let_15 _let_21 _let_69))) (let ((_let_71 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v3_struct_0 A)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 3)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_32)) :args ((or _let_20 _let_28))) _let_34 :args (_let_20 true _let_28)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_21 _let_15 _let_69 (not _let_70)))) _let_73 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 false _let_20 false _let_14 false _let_70)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_32)) :args ((or _let_26 _let_28))) _let_34 :args (_let_26 true _let_28)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_27 _let_15 _let_65 _let_64 (not _let_66)))) _let_75 _let_59 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(= (tptp.l1_orders_2 A) false))))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_78 false _let_14 false _let_79)))) (let ((_let_83 (not _let_78))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 2)) :args ((or _let_40 _let_83))) _let_82 :args (_let_40 false _let_78)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_42 _let_83))) _let_82 :args (_let_42 false _let_78)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 5)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_32)) :args ((or _let_16 _let_28))) _let_34 :args (_let_16 true _let_28)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 4)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_32)) :args ((or _let_18 _let_28))) _let_34 :args (_let_18 true _let_28)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_32)) :args ((or _let_22 _let_28))) _let_34 :args (_let_22 true _let_28)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_32)) :args ((or _let_24 _let_28))) _let_34 :args (_let_24 true _let_28)))) (let ((_let_90 (or _let_65 _let_15 _let_35))) (let ((_let_91 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_waybel_1 (tptp.k1_waybel_1 A A _let_1 _let_1) A A)))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_15 _let_65 _let_35 (not _let_90)))) _let_59 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_35 false _let_14 true _let_65 false _let_90)))) (let ((_let_94 (not _let_35))) (let ((_let_95 (= _let_11 _let_35))) (let ((_let_96 (not _let_62))) (let ((_let_97 (or _let_27 _let_25 _let_23 _let_21 _let_19 _let_15 _let_17 _let_27 _let_25 _let_23 _let_21 _let_19 _let_15 _let_17 _let_43 _let_41 _let_39 _let_96 _let_43 _let_41 _let_39 _let_95))) (let ((_let_98 (forall ((A $$unsorted) (BOUND_VARIABLE_3622 $$unsorted) (BOUND_VARIABLE_3620 $$unsorted) (BOUND_VARIABLE_3618 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_3618))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_lattice3 A)) (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (not (tptp.v3_lattice3 A)) (not (tptp.v2_orders_2 BOUND_VARIABLE_3618)) (not (tptp.v3_orders_2 BOUND_VARIABLE_3618)) (not (tptp.v4_orders_2 BOUND_VARIABLE_3618)) (not (tptp.v1_lattice3 BOUND_VARIABLE_3618)) (not (tptp.v2_lattice3 BOUND_VARIABLE_3618)) (not (tptp.l1_orders_2 BOUND_VARIABLE_3618)) (not (tptp.v3_lattice3 BOUND_VARIABLE_3618)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3622)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3622 _let_1 _let_2)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3622 _let_1 _let_2)) (not (tptp.v18_waybel_0 BOUND_VARIABLE_3622 BOUND_VARIABLE_3618 A)) (not (tptp.v1_funct_1 BOUND_VARIABLE_3620)) (not (tptp.v1_funct_2 BOUND_VARIABLE_3620 _let_2 _let_1)) (not (tptp.m2_relset_1 BOUND_VARIABLE_3620 _let_2 _let_1)) (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 A BOUND_VARIABLE_3618 BOUND_VARIABLE_3620 BOUND_VARIABLE_3622) A BOUND_VARIABLE_3618) (= BOUND_VARIABLE_3620 (tptp.k2_waybel34 A BOUND_VARIABLE_3618 BOUND_VARIABLE_3622))))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_11 _let_94 (not _let_95)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_97))) :args ((or _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15 _let_43 _let_41 _let_96 _let_39 _let_95 (not _let_97)))) _let_75 _let_89 _let_88 _let_73 _let_87 _let_86 _let_59 _let_85 _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 9)) :args ((or _let_62 _let_77))) _let_76 :args (_let_62 false _let_64)) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_waybel_1 A BOUND_VARIABLE_3618 BOUND_VARIABLE_3620 BOUND_VARIABLE_3622)))) :args (_let_98)))) _let_99 :args (_let_97 false _let_98)) :args (_let_95 false _let_26 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 false _let_14 false _let_42 false _let_40 false _let_62 false _let_38 false _let_97)) :args (_let_11 false _let_35 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_12 _let_94 (not _let_36)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_46))) :args ((or _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15 _let_43 _let_41 _let_45 _let_39 _let_36 (not _let_46)))) _let_75 _let_89 _let_88 _let_73 _let_87 _let_86 _let_59 _let_85 _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 8)) :args ((or _let_44 _let_77))) _let_76 :args (_let_44 false _let_64)) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_waybel_1 A BOUND_VARIABLE_3462 BOUND_VARIABLE_3466 BOUND_VARIABLE_3464)))) :args (_let_47)))) _let_48 :args (_let_46 false _let_47)) :args (_let_36 false _let_26 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 false _let_14 false _let_42 false _let_40 false _let_44 false _let_38 false _let_46)) :args (_let_12 false _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 7)) _let_34 :args ((not _let_13) true _let_28)) :args (false false _let_11 false _let_12 true _let_13)) :args (_let_9 (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)) (=> (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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_8 (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v6_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A)))))))))) (forall ((A $$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 $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 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.v2_lattice3 B) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v19_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v5_orders_3 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v4_waybel_1 C A B)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (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)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.l1_orders_2 B)) (forall ((C $$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.v5_waybel_1 C B A)) (and _let_4 (not (tptp.v1_xboole_0 C)) _let_3 (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v7_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))) (forall ((A $$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)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.v1_funct_2 B _let_1 _let_1))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B _let_1 _let_1) (=> (and _let_3 _let_2 (tptp.v8_waybel_1 B A)) (and _let_3 (not (tptp.v1_xboole_0 B)) _let_2 (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v3_yellow_0 A) (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (and (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A)) (tptp.v3_yellow_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (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.v17_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.v1_funct_2 C _let_2 _let_1))) (let ((_let_4 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C _let_2 _let_1) (=> (and _let_4 _let_3 (tptp.v18_waybel_0 C A B)) (and _let_4 _let_3 (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (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.v23_waybel_0 C A B)) (and _let_4 (tptp.v2_funct_1 C) _let_3 (tptp.v5_orders_3 C A 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) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_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))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_orders_2 A) (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) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (tptp.m1_waybel_1 (tptp.k1_waybel_1 A B C D) A B))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_waybel34 A B C))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true true _let_5 _let_4 true true true true (forall ((A $$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))))) true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_orders_2 A) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (tptp.m1_waybel_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (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.v3_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.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v17_waybel_0 C A B) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v18_waybel_0 _let_1 B A) (tptp.v20_waybel_0 _let_1 B A) (tptp.v22_waybel_0 _let_1 B A) (tptp.v5_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_waybel34 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (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.v3_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.v3_lattice3 B) (tptp.l1_orders_2 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_3) (tptp.v18_waybel_0 C B A) (tptp.m1_relset_1 C _let_2 _let_3)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_3 _let_2) (tptp.v1_partfun1 _let_1 _let_3 _let_2) (tptp.v17_waybel_0 _let_1 A B) (tptp.v19_waybel_0 _let_1 A B) (tptp.v21_waybel_0 _let_1 A B) (tptp.v4_waybel_1 _let_1 A B) (tptp.v5_orders_3 _let_1 A B))))))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A)))))) _let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_grcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_funct_2 _let_1 _let_2 _let_2) (tptp.v1_partfun1 _let_1 _let_2 _let_2) (tptp.v5_orders_3 _let_1 A A) (tptp.v23_waybel_0 _let_1 A A) (tptp.v6_waybel_1 _let_1 A) (tptp.v7_waybel_1 _let_1 A) (tptp.v8_waybel_1 _let_1 A)))))) (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 $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$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.v19_waybel_0 C A B) (tptp.v20_waybel_0 C A B))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v5_orders_3 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_lattice3 B) (tptp.v2_lattice3 B) (tptp.v3_lattice3 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (and (tptp.m1_waybel_1 C A B) (tptp.v3_waybel_1 C A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v11_quantal1 B) (tptp.v5_orders_3 B A A) (tptp.v17_waybel_0 B A A) (tptp.v18_waybel_0 B A A) (tptp.v19_waybel_0 B A A) (tptp.v20_waybel_0 B A A) (tptp.v21_waybel_0 B A A) (tptp.v22_waybel_0 B A A) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v7_waybel_1 B A)))))) (exists ((A $$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 $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 B _let_1 _let_1) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.v1_partfun1 B _let_1 _let_1) (tptp.v6_waybel_1 B A) (tptp.v8_waybel_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v2_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v17_waybel_0 C A B) (tptp.v19_waybel_0 C A B) (tptp.v21_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$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) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.l1_orders_2 B)) (exists ((C $$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) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v18_waybel_0 C A B) (tptp.v20_waybel_0 C A B) (tptp.v22_waybel_0 C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (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)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_orders_2 A) (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) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m1_relset_1 D _let_2 _let_1)) (= (tptp.k1_waybel_1 A B C D) (tptp.k4_tarski C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.81 )
% 0.60/0.81 % SZS output end Proof for LAT356+1
% 0.60/0.81 % cvc5---1.0.5 exiting
% 0.60/0.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------