TSTP Solution File: LAT330+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT330+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 06:04:06 EDT 2023

% Result   : Theorem 0.20s 0.72s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LAT330+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Aug 24 09:01:14 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.72  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.igMN7CEgoU/cvc5---1.0.5_18807.p...
% 0.20/0.72  ------- get file name : TPTP file name is LAT330+1
% 0.20/0.72  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18807.smt2...
% 0.20/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.72  % SZS status Theorem for LAT330+1
% 0.20/0.72  % SZS output start Proof for LAT330+1
% 0.20/0.72  (
% 0.20/0.72  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (= (tptp.r2_hidden D (tptp.k22_filter_2 A B C)) (and (tptp.r3_lattices A B D) (tptp.r3_lattices A D C)))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k5_lattices A) B))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k18_filter_2 A C)) (tptp.r3_lattices A B C)))))))))) (let ((_let_4 (forall ((A $$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_5 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k22_filter_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_2) (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m2_lattice4 _let_1 A)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m2_filter_2 (tptp.k18_filter_2 A B) A))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_filter_2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))))))))))) (let ((_let_13 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.v13_lattices A) (tptp.r1_filter_2 _let_1 (tptp.k18_filter_2 A B) (tptp.k22_filter_2 A (tptp.k5_lattices A) B))))))))))) (let ((_let_14 (tptp.k5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.k22_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_15))) (let ((_let_17 (tptp.k18_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_17))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_19))) (let ((_let_24 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.r2_hidden D (tptp.k18_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden D (tptp.k22_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (tptp.r1_filter_2 _let_20 _let_17 _let_15))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (not _let_24))) (let ((_let_29 (tptp.k1_zfmisc_1 _let_20))) (let ((_let_30 (tptp.m1_subset_1 _let_15 _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.m1_subset_1 _let_17 _let_29))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v1_xboole_0 _let_20))) (let ((_let_35 (or _let_34 _let_33 _let_31 _let_27))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_1323 $$unsorted) (BOUND_VARIABLE_1321 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (tptp.v1_xboole_0 A) (not (tptp.m1_subset_1 BOUND_VARIABLE_1321 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1323 _let_1)) (= (tptp.r1_filter_2 A BOUND_VARIABLE_1321 BOUND_VARIABLE_1323) (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D A)) (= (tptp.r2_hidden D BOUND_VARIABLE_1321) (tptp.r2_hidden D BOUND_VARIABLE_1323)))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.m2_lattice4 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (or _let_44 _let_43 _let_41 _let_39 _let_30))) (let ((_let_46 (forall ((A $$unsorted) (BOUND_VARIABLE_1440 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_lattice4 BOUND_VARIABLE_1440 A)) (tptp.m1_subset_1 BOUND_VARIABLE_1440 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 (and (not (tptp.v1_xboole_0 _let_15)) _let_38))) (let ((_let_50 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.m1_subset_1 _let_14 _let_20))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_44 _let_43 _let_41 _let_53 _let_51 _let_49))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k22_filter_2 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 B _let_2)) (not (tptp.m1_subset_1 C _let_2)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m2_lattice4 _let_1 A)))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_44 _let_58 _let_52))) (let ((_let_60 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (and _let_57 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_63 (or _let_41 _let_62))) (let ((_let_64 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (tptp.v13_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_44 _let_43 _let_41 _let_67 _let_51 _let_26))) (let ((_let_69 (forall ((A $$unsorted) (BOUND_VARIABLE_1243 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.v13_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1243 _let_1)) (tptp.r1_filter_2 _let_1 (tptp.k18_filter_2 A BOUND_VARIABLE_1243) (tptp.k22_filter_2 A (tptp.k5_lattices A) BOUND_VARIABLE_1243))))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (or))) (let ((_let_73 (not _let_69))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_71) :args (_let_73))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_69))) (REFL :args (_let_70)) :args _let_72)) _let_71 :args (_let_70 true _let_69)))) (let ((_let_75 (REFL :args (_let_68)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 2)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_72)) :args ((or _let_40 _let_68))) _let_74 :args (_let_40 true _let_68)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_57 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_41 _let_62 (not _let_63)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l3_lattices A) false))))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_40 false _let_63)) :args (_let_57 false _let_62)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 0)) _let_74 :args ((not _let_44) true _let_68)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_44 _let_52 _let_58 (not _let_59)))) _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_52 true _let_44 false _let_57 false _let_59)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 4)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_72)) :args ((or _let_50 _let_68))) _let_74 :args (_let_50 true _let_68)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_72)) :args ((or _let_42 _let_68))) _let_74 :args (_let_42 true _let_68)))) (let ((_let_82 (tptp.m2_lattice4 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_44 _let_43 _let_41 _let_83 _let_32))) (let ((_let_85 (and (not (tptp.v1_xboole_0 _let_17)) _let_82))) (let ((_let_86 (tptp.m2_filter_2 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_44 _let_43 _let_41 _let_87 _let_85))) (let ((_let_89 (forall ((A $$unsorted) (BOUND_VARIABLE_1414 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_1414 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_1414)) (tptp.m2_lattice4 BOUND_VARIABLE_1414 A)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (or _let_44 _let_43 _let_41 _let_51 _let_86))) (let ((_let_92 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m2_filter_2 (tptp.k18_filter_2 A B) A))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (not _let_34))) (let ((_let_95 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_44 _let_96 _let_94))) (let ((_let_98 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (or _let_58 _let_95))) (let ((_let_101 (forall ((A $$unsorted)) (or (not (tptp.l1_lattices A)) (tptp.l1_struct_0 A))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_28))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_27)) :args ((or _let_26 _let_28 (not _let_27)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 5)) _let_74 :args ((not _let_26) true _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_31 _let_27 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_44 _let_96 _let_94 (not _let_97)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_58 _let_95 (not _let_100)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_lattices A) false))))) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_95 false _let_57 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_94 true _let_44 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_44 _let_43 _let_41 _let_32 _let_83 (not _let_84)))) _let_78 _let_81 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_82 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_44 _let_43 _let_41 _let_87 _let_85 (not _let_88)))) _let_78 _let_81 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_44 _let_43 _let_41 _let_51 _let_86 (not _let_91)))) _let_78 _let_81 _let_76 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) false))))) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_86 true _let_44 false _let_42 false _let_40 false _let_50 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_1414 A) false))))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_85 true _let_44 false _let_42 false _let_40 false _let_86 false _let_88)) :args (_let_82 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1440 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) true))))) :args _let_48)) _let_47 :args (_let_84 false _let_46)) :args (_let_32 true _let_44 false _let_42 false _let_40 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 _let_41 _let_30 _let_39 (not _let_45)))) _let_78 _let_81 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 1)) :args ((or _let_38 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_44 _let_43 _let_41 _let_51 _let_53 _let_49 (not _let_54)))) _let_78 _let_81 _let_76 _let_80 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k22_filter_2 A B C)))) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_49 true _let_44 false _let_42 false _let_40 false _let_50 false _let_52 false _let_54)) :args (_let_38 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_lattice4 BOUND_VARIABLE_1440 A) false))))) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_30 true _let_44 false _let_42 false _let_40 false _let_38 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_20 _let_15 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r1_filter_2 A BOUND_VARIABLE_1321 BOUND_VARIABLE_1323)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_27 true _let_34 false _let_32 false _let_30 false _let_35)) :args (_let_28 true _let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_104 :args ((not _let_19) true _let_23)))) (let ((_let_106 (tptp.r3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_107 (tptp.r3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_108 (and _let_107 _let_106))) (let ((_let_109 (= _let_16 _let_108))) (let ((_let_110 (tptp.r3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_44 _let_43 _let_41 _let_53 _let_51 _let_111 _let_22 _let_109))) (let ((_let_113 (forall ((A $$unsorted) (BOUND_VARIABLE_1815 $$unsorted) (BOUND_VARIABLE_1813 $$unsorted) (BOUND_VARIABLE_1811 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1811 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1815 _let_1)) (not (tptp.r3_lattices A BOUND_VARIABLE_1811 BOUND_VARIABLE_1815)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1813 _let_1)) (= (tptp.r2_hidden BOUND_VARIABLE_1813 (tptp.k22_filter_2 A BOUND_VARIABLE_1811 BOUND_VARIABLE_1815)) (and (tptp.r3_lattices A BOUND_VARIABLE_1811 BOUND_VARIABLE_1813) (tptp.r3_lattices A BOUND_VARIABLE_1813 BOUND_VARIABLE_1815)))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_72)) :args ((or _let_21 _let_23))) _let_104 :args (_let_21 true _let_23)))) (let ((_let_116 (or _let_44 _let_43 _let_67 _let_41 _let_51 _let_110))) (let ((_let_117 (forall ((A $$unsorted) (BOUND_VARIABLE_1723 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v13_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1723 (tptp.u1_struct_0 A))) (tptp.r3_lattices A (tptp.k5_lattices A) BOUND_VARIABLE_1723))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1723 (tptp.u1_struct_0 A)) false))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 3)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_72)) :args ((or _let_66 _let_68))) _let_74 :args (_let_66 true _let_68)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_44 _let_43 _let_41 _let_51 _let_53 _let_111 _let_22 _let_109 (not _let_112)))) _let_78 _let_81 _let_76 _let_80 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_44 _let_43 _let_41 _let_67 _let_51 _let_110 (not _let_116)))) _let_78 _let_81 _let_76 _let_121 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_110 true _let_44 false _let_42 false _let_40 false _let_66 false _let_50 false _let_116)) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.r2_hidden BOUND_VARIABLE_1813 (tptp.k22_filter_2 A BOUND_VARIABLE_1811 BOUND_VARIABLE_1815))))) :args (_let_113))) _let_114 :args (_let_112 false _let_113)) :args (_let_109 true _let_44 false _let_42 false _let_40 false _let_50 false _let_52 false _let_110 false _let_21 false _let_112)))) (let ((_let_123 (= _let_18 _let_106))) (let ((_let_124 (not _let_109))) (let ((_let_125 (_let_109))) (let ((_let_126 (or _let_44 _let_43 _let_67 _let_41 _let_22 _let_107))) (let ((_let_127 (not _let_106))) (let ((_let_128 (_let_19))) (let ((_let_129 (or _let_44 _let_43 _let_41 _let_22 _let_51 _let_123))) (let ((_let_130 (forall ((A $$unsorted) (BOUND_VARIABLE_1686 $$unsorted) (BOUND_VARIABLE_1684 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1684 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1686 _let_1)) (= (tptp.r2_hidden BOUND_VARIABLE_1684 (tptp.k18_filter_2 A BOUND_VARIABLE_1686)) (tptp.r3_lattices A BOUND_VARIABLE_1684 BOUND_VARIABLE_1686))))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_44 _let_43 _let_41 _let_51 _let_22 _let_123 (not _let_129)))) _let_78 _let_81 _let_76 _let_80 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING ((tptp.r2_hidden BOUND_VARIABLE_1684 (tptp.k18_filter_2 A BOUND_VARIABLE_1686))))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_123 true _let_44 false _let_42 false _let_40 false _let_50 false _let_21 false _let_129)))) (let ((_let_133 (not _let_123))) (let ((_let_134 (_let_123))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_134) :args ((or (not _let_18) _let_106 _let_133))) _let_132 (REORDERING (CNF_EQUIV_NEG1 :args _let_128) :args ((or _let_18 _let_16 _let_19))) _let_105 (REORDERING (CNF_AND_NEG :args (_let_108)) :args ((or _let_108 _let_127 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_44 _let_43 _let_41 _let_67 _let_22 _let_107 (not _let_126)))) _let_78 _let_81 _let_76 _let_121 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)) _let_118 :args (_let_126 false _let_117)) :args (_let_107 true _let_44 false _let_42 false _let_40 false _let_66 false _let_21 false _let_126)) (REORDERING (CNF_EQUIV_POS1 :args _let_125) :args ((or (not _let_16) _let_108 _let_124))) _let_122 :args (_let_108 false _let_123 false _let_18 true _let_19 true _let_106 false _let_107 true _let_16 false _let_109)))) (let ((_let_136 (not _let_108))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_128) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_134) :args ((or _let_18 _let_127 _let_133))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_106 _let_136))) _let_135 :args (_let_106 false _let_108)) _let_132 :args (_let_18 false _let_106 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_125) :args ((or _let_16 _let_136 _let_124))) _let_135 _let_122 :args (_let_16 false _let_108 false _let_109)) _let_105 :args (false false _let_18 false _let_16 true _let_19)) :args (_let_13 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) _let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k18_filter_2 A B) (tptp.a_2_0_filter_2 A B)))))) _let_11 true true _let_10 _let_9 _let_8 true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_7 true _let_6 _let_5 true (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_filter_2 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_lattice4 B A)))) _let_4 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_filter_2 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B D C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (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.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)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r1_filter_2 A B C) (= B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r1_filter_2 A B B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (=> (tptp.r1_filter_2 A B C) (tptp.r1_filter_2 A C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_3 (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)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_1 (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.73  )
% 0.20/0.73  % SZS output end Proof for LAT330+1
% 0.20/0.73  % cvc5---1.0.5 exiting
% 0.20/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------