%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 06:04:16 EDT 2023

% Result   : Theorem 0.21s 0.82s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 05:04:56 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.82  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3WWS7ldgyz/cvc5---1.0.5_16758.p...
% 0.21/0.82  ------- get file name : TPTP file name is LAT347+1
% 0.21/0.82  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16758.smt2...
% 0.21/0.82  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.82  % SZS status Theorem for LAT347+1
% 0.21/0.82  % SZS output start Proof for LAT347+1
% 0.21/0.82  (
% 0.21/0.82  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski B))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.k8_waybel_0 (tptp.k7_lattice3 A))))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 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.v1_lattice3 _let_1))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 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))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v1_yellow_0 _let_1))))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (tptp.l1_orders_2 A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (=> (tptp.v2_lattice3 A) (not (tptp.v3_struct_0 A))))))) (let ((_let_10 (not (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B _let_1) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 B) (tptp.k3_tarski B)))))))))) (let ((_let_11 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.k7_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.v1_yellow_0 _let_12))) (let ((_let_14 (tptp.v2_orders_2 _let_12))) (let ((_let_15 (tptp.v3_orders_2 _let_12))) (let ((_let_16 (tptp.v4_orders_2 _let_12))) (let ((_let_17 (tptp.v1_lattice3 _let_12))) (let ((_let_18 (tptp.k8_waybel_0 _let_12))) (let ((_let_19 (tptp.k2_yellow_1 _let_18))) (let ((_let_20 (tptp.v1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_21 (tptp.l1_orders_2 _let_12))) (let ((_let_22 (tptp.k3_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (= _let_22 (tptp.k1_yellow_0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_24 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_19))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_20))) (let ((_let_27 (not _let_21))) (let ((_let_28 (not _let_13))) (let ((_let_29 (not _let_17))) (let ((_let_30 (not _let_16))) (let ((_let_31 (not _let_15))) (let ((_let_32 (not _let_14))) (let ((_let_33 (or _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_11 _let_26 _let_25 _let_23))) (let ((_let_34 (tptp.k9_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (tptp.k2_yellow_1 _let_34))) (let ((_let_36 (= (tptp.k1_yellow_0 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_22))) (let ((_let_37 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_35))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v1_waybel_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.v2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v2_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_48 _let_46 _let_44 _let_42 _let_11 _let_40 _let_38 _let_36))) (let ((_let_54 (forall ((A $$unsorted) (BOUND_VARIABLE_1813 $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (or (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v2_yellow_0 A)) (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1813) (not (tptp.v1_waybel_0 BOUND_VARIABLE_1813 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1813 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 BOUND_VARIABLE_1813) (tptp.k3_tarski BOUND_VARIABLE_1813))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (not _let_54))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_54))) (REFL :args (_let_55)) :args _let_57)) _let_56 :args (_let_55 true _let_54)))) (let ((_let_60 (tptp.v1_orders_2 _let_12))) (let ((_let_61 (and _let_60 _let_13))) (let ((_let_62 (or _let_46 _let_42 _let_61))) (let ((_let_63 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.v2_yellow_0 A)) (not (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v1_yellow_0 _let_1))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (REFL :args (_let_53)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 5)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_57)) :args ((or _let_41 _let_53))) _let_59 :args (_let_41 true _let_53)))) (let ((_let_67 (and _let_60 _let_14))) (let ((_let_68 (or _let_52 _let_42 _let_67))) (let ((_let_69 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.v2_orders_2 A)) (not (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_57)) :args ((or _let_51 _let_53))) _let_59 :args (_let_51 true _let_53)))) (let ((_let_72 (and _let_60 _let_15))) (let ((_let_73 (or _let_50 _let_42 _let_72))) (let ((_let_74 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.v3_orders_2 A)) (not (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v3_orders_2 _let_1))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_57)) :args ((or _let_49 _let_53))) _let_59 :args (_let_49 true _let_53)))) (let ((_let_77 (and _let_60 _let_16))) (let ((_let_78 (or _let_48 _let_42 _let_77))) (let ((_let_79 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.v4_orders_2 A)) (not (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (and (not (tptp.v3_struct_0 _let_12)) _let_60 _let_17))) (let ((_let_82 (or _let_44 _let_42 _let_81))) (let ((_let_83 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.v2_lattice3 A)) (not (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 4)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_57)) :args ((or _let_43 _let_53))) _let_59 :args (_let_43 true _let_53)))) (let ((_let_86 (= _let_34 _let_18))) (let ((_let_87 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (or _let_87 _let_52 _let_50 _let_42 _let_86))) (let ((_let_89 (forall ((A $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.k8_waybel_0 (tptp.k7_lattice3 A))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (not _let_87))) (let ((_let_92 (or _let_42 _let_44 _let_91))) (let ((_let_93 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.v2_lattice3 A)) (not (tptp.v3_struct_0 A)))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_52 _let_50 _let_42 _let_87 _let_86 (not _let_88)))) _let_71 _let_76 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_44 _let_42 _let_91 (not _let_92)))) _let_85 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_91 false _let_43 false _let_41 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_orders_2 A) false))))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_86 false _let_51 false _let_49 false _let_41 true _let_87 false _let_88)))) (let ((_let_96 (and _let_39 _let_86))) (let ((_let_97 (_let_39 _let_86))) (let ((_let_98 (ASSUME :args (_let_39)))) (let ((_let_99 (ASSUME :args (_let_86)))) (let ((_let_100 (CONG (SYMM _let_99) :args (APPLY_UF tptp.k2_yellow_1)))) (let ((_let_101 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_102 (and _let_60 _let_21))) (let ((_let_103 (or _let_42 _let_102))) (let ((_let_104 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (or (not (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (forall ((A $$unsorted) (BOUND_VARIABLE_2652 $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k8_waybel_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.v1_yellow_0 A)) (not (tptp.l1_orders_2 A)) (tptp.v1_xboole_0 BOUND_VARIABLE_2652) (not (tptp.v1_waybel_0 BOUND_VARIABLE_2652 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2652 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1)))) (= (tptp.k1_yellow_0 _let_1 BOUND_VARIABLE_2652) (tptp.k3_tarski BOUND_VARIABLE_2652))))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (not _let_23))) (let ((_let_109 (not _let_36))) (let ((_let_110 (and _let_109 _let_86))) (let ((_let_111 (ASSUME :args (_let_109)))) (let ((_let_112 (and _let_37 _let_86))) (let ((_let_113 (_let_37 _let_86))) (let ((_let_114 (ASSUME :args (_let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_11 _let_28 _let_32 _let_31 _let_30 _let_29 _let_27 _let_26 _let_25 _let_23 (not _let_33)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 (CONG (CONG _let_100 :args (APPLY_UF tptp.u1_struct_0)) :args (APPLY_UF tptp.k1_zfmisc_1)) :args (APPLY_UF tptp.m1_subset_1)) (TRUE_INTRO _let_114))) :args _let_113)) :args _let_113)) :args (true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 8)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_57)) :args ((or _let_37 _let_53))) _let_59 :args (_let_37 true _let_53)) _let_95 :args (_let_24 false _let_37 false _let_86)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_111) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (CONG _let_100 _let_101 :args (APPLY_UF tptp.k1_yellow_0)) (REFL :args (_let_22)) :args (=)) (FALSE_INTRO _let_111)) :args ((= _let_23 false)))) :args (_let_86 _let_109))) :args (_let_109 _let_86))) :args (true _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_36))) (REFL :args ((not _let_86))) (REFL :args (_let_108)) :args _let_57)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 9)) _let_59 :args (_let_109 true _let_53)) _let_95 :args (_let_108 true _let_36 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.v1_waybel_0 BOUND_VARIABLE_2652 (tptp.k2_yellow_1 (tptp.k8_waybel_0 A))) false))))) :args (_let_106)))) _let_107 :args (_let_33 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_21 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_42 _let_102 (not _let_103)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k7_lattice3 A)))) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_102 false _let_41 false _let_103)) :args (_let_21 false _let_102)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 _let_100 :args (APPLY_UF tptp.v1_waybel_0)) 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(SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_72 false _let_49 false _let_41 false _let_73)) :args (_let_15 false _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_14 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_52 _let_42 _let_67 (not _let_68)))) _let_71 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.l1_orders_2 A) false))))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 false _let_51 false _let_41 false _let_68)) :args (_let_14 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_13 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING 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(tptp.v1_orders_2 A) (= A (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (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)) (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 $$unsorted)) (let ((_let_1 (tptp.v1_yellow_0 A))) (let ((_let_2 (tptp.v1_lattice3 A))) (let ((_let_3 (tptp.v4_orders_2 A))) (let ((_let_4 (tptp.v3_orders_2 A))) (let ((_let_5 (tptp.v2_orders_2 A))) (let ((_let_6 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (tptp.v24_waybel_0 A)) (and _let_6 _let_5 _let_4 _let_3 _let_2 (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) _let_1 (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A))))))))))) (forall ((A $$unsorted)) (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 $$unsorted)) (let ((_let_1 (tptp.v2_yellow_0 A))) (let ((_let_2 (tptp.v4_orders_2 A))) (let ((_let_3 (tptp.v2_orders_2 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v25_waybel_0 A)) (and _let_4 _let_3 _let_2 (tptp.v1_lattice3 A) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (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) (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 $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_orders_2 A) (=> (and _let_1 (tptp.v3_lattice3 A)) (and _let_1 (tptp.v1_lattice3 A) (tptp.v2_lattice3 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.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)))))) _let_9 (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.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)) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k8_waybel_0 A) (tptp.a_1_0_waybel_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (= (tptp.k9_waybel_0 A) (tptp.a_1_1_waybel_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (= (tptp.k7_lattice3 A) (tptp.g1_orders_2 _let_1 (tptp.k6_relset_1 _let_1 _let_1 (tptp.u1_orders_2 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 A B))) (=> (tptp.m1_relset_1 B A A) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k1_yellow_0 A B) (tptp.u1_struct_0 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 A))) (and (tptp.v1_orders_2 _let_1) (tptp.l1_orders_2 _let_1)))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))) _let_8 true true (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))) true true true (forall ((A $$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))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_orders_2 A) (tptp.m2_relset_1 (tptp.u1_orders_2 A) _let_1 _let_1)))) true (exists ((A $$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)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$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))))) _let_7 (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)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_yellow_0 A) (tptp.l1_orders_2 A)) (not (tptp.v1_xboole_0 (tptp.k9_waybel_0 A))))) (tptp.v1_xboole_0 tptp.k1_xboole_0) _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_yellow_1 (tptp.k9_waybel_0 A)))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v2_lattice3 A) (tptp.v2_yellow_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.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v24_waybel_0 _let_1) (tptp.v25_waybel_0 _let_1))))) _let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (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 $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_orders_2 _let_1) (tptp.v3_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (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))))) _let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (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 $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v2_lattice3 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_orders_2 (tptp.u1_struct_0 A) (tptp.u1_orders_2 A)))) (=> (and (tptp.v4_orders_2 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v4_orders_2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattice3 A) (tptp.l1_orders_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_orders_2 _let_1) (tptp.v1_lattice3 _let_1) (tptp.v2_lattice3 _let_1) (tptp.v3_lattice3 _let_1) (tptp.v1_yellow_0 _let_1) (tptp.v2_yellow_0 _let_1) (tptp.v3_yellow_0 _let_1))))) (forall ((A $$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)) (let ((_let_1 (tptp.k7_lattice3 A))) (=> (and (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (and (tptp.v1_orders_2 _let_1) (tptp.v2_yellow_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_0_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_waybel_0 C B) (tptp.v12_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.l1_orders_2 B)) (= (tptp.r2_hidden A (tptp.a_1_1_waybel_0 B)) (exists ((C $$unsorted)) (and (not (tptp.v1_xboole_0 C)) (tptp.v2_waybel_0 C B) (tptp.v13_waybel_0 C B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= A C)))))) (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 $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v2_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_lattice3 A) (tptp.v2_lattice3 A) (tptp.v3_lattice3 A) (tptp.v1_yellow_0 A) (tptp.v2_yellow_0 A) (tptp.v3_yellow_0 A) (tptp.v24_waybel_0 A) (tptp.v25_waybel_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_orders_2 A) (not (tptp.v3_struct_0 A)) (tptp.v1_orders_2 A) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v3_lattice3 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_waybel_0 B A) (tptp.v2_waybel_0 B A))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 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))) (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_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))) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v12_waybel_0 B A) (tptp.v13_waybel_0 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v1_waybel_0 B A) (tptp.v12_waybel_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))) (forall ((A $$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)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$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))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.83  )
% 0.21/0.83  % SZS output end Proof for LAT347+1
% 0.21/0.83  % cvc5---1.0.5 exiting
% 0.21/0.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------