%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU411+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 16:31:28 EDT 2023

% Result   : Theorem 13.32s 13.57s
% Output   : Proof 13.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU411+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 23 19:44:54 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 13.32/13.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ABQnLzM5LU/cvc5---1.0.5_14007.p...
% 13.32/13.57  ------- get file name : TPTP file name is SEU411+1
% 13.32/13.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14007.smt2...
% 13.32/13.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.32/13.57  --- Run --no-e-matching --full-saturate-quant at 5...
% 13.32/13.57  % SZS status Theorem for SEU411+1
% 13.32/13.57  % SZS output start Proof for SEU411+1
% 13.32/13.57  (
% 13.32/13.57  (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_orders_2 A (tptp.k3_yellow_0 A) B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_orders_2 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.u1_struct_0 A) _let_1)) (tptp.m1_subset_1 C _let_1)))))))))) (let ((_let_4 (forall ((A $$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 $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.l1_struct_0 A))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (tptp.m1_subset_1 (tptp.k3_yellow_0 A) (tptp.u1_struct_0 A)))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l1_orders_2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v12_waybel_0 B 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)) (=> (and (tptp.r2_hidden C B) (tptp.r1_orders_2 A D C)) (tptp.r2_hidden D B))))))))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))))) (let ((_let_10 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.v4_orders_2 A) (tptp.v1_yellow_0 A) (tptp.v1_lattice3 A) (tptp.l1_orders_2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_orders_2 B) (tptp.v3_orders_2 B) (tptp.v4_orders_2 B) (tptp.v1_yellow_0 B) (tptp.v1_lattice3 B) (tptp.l1_orders_2 B)) (=> (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_waybel_0 _let_3 B) (tptp.v12_waybel_0 _let_3 B) (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (tptp.r2_hidden (tptp.k3_yellow_0 B) _let_1)))))))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_12 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.k3_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.r2_hidden _let_13 _let_12))) (let ((_let_15 (tptp.v1_xboole_0 _let_12))) (let ((_let_16 (tptp.m1_subset_1 _let_13 _let_12))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_14))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.k3_xboole_0 _let_21 _let_12))) (let ((_let_23 (tptp.r2_hidden _let_13 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.l1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (or _let_30 _let_29 _let_27 _let_26 _let_24 _let_16))) (let ((_let_32 (forall ((A $$unsorted) (BOUND_VARIABLE_1227 $$unsorted) (BOUND_VARIABLE_1225 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1225))) (or (tptp.v3_struct_0 A) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1225) (not (tptp.l1_orders_2 BOUND_VARIABLE_1225)) (not (tptp.r2_hidden BOUND_VARIABLE_1227 (tptp.k3_xboole_0 (tptp.u1_struct_0 A) _let_1))) (tptp.m1_subset_1 BOUND_VARIABLE_1227 _let_1)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 (tptp.k3_xboole_0 _let_12 _let_21))) (let ((_let_36 (tptp.r2_hidden _let_13 _let_35))) (let ((_let_37 (= _let_35 _let_22))) (let ((_let_38 (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.m1_subset_1 _let_13 _let_21))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_35))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_21))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_41 _let_39 _let_36))) (let ((_let_47 (forall ((C $$unsorted) (BOUND_VARIABLE_1048 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_1))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_hidden C _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1048 _let_1)) (not (tptp.r1_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1048 C)) (tptp.r2_hidden BOUND_VARIABLE_1048 _let_2))))))) (let ((_let_48 (tptp.v12_waybel_0 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (tptp.m1_subset_1 _let_35 (tptp.k1_zfmisc_1 _let_21)))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_29 _let_51 _let_49))) (let ((_let_53 (forall ((A $$unsorted) (BOUND_VARIABLE_1072 $$unsorted)) (or (not (tptp.l1_orders_2 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1072 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.v12_waybel_0 BOUND_VARIABLE_1072 A) (forall ((C $$unsorted) (BOUND_VARIABLE_1048 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.r2_hidden C BOUND_VARIABLE_1072)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1048 _let_1)) (not (tptp.r1_orders_2 A BOUND_VARIABLE_1048 C)) (tptp.r2_hidden BOUND_VARIABLE_1048 BOUND_VARIABLE_1072))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (not _let_48))) (let ((_let_56 (tptp.v1_xboole_0 _let_35))) (let ((_let_57 (tptp.v1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_27 (not (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.v4_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.v1_yellow_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_26 _let_30 (not (tptp.v2_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.v3_orders_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_60 _let_58 (not (tptp.v1_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_29 _let_56 (not (tptp.v1_waybel_0 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_55 _let_51 _let_14))) (let ((_let_62 (forall ((A $$unsorted) (BOUND_VARIABLE_993 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 BOUND_VARIABLE_993))) (let ((_let_3 (tptp.k3_xboole_0 _let_1 _let_2))) (or (tptp.v3_struct_0 A) (not (tptp.v2_orders_2 A)) (not (tptp.v3_orders_2 A)) (not (tptp.v4_orders_2 A)) (not (tptp.v1_yellow_0 A)) (not (tptp.v1_lattice3 A)) (not (tptp.l1_orders_2 A)) (tptp.v3_struct_0 BOUND_VARIABLE_993) (not (tptp.v2_orders_2 BOUND_VARIABLE_993)) (not (tptp.v3_orders_2 BOUND_VARIABLE_993)) (not (tptp.v4_orders_2 BOUND_VARIABLE_993)) (not (tptp.v1_yellow_0 BOUND_VARIABLE_993)) (not (tptp.v1_lattice3 BOUND_VARIABLE_993)) (not (tptp.l1_orders_2 BOUND_VARIABLE_993)) (tptp.v1_xboole_0 _let_3) (not (tptp.v1_waybel_0 _let_3 BOUND_VARIABLE_993)) (not (tptp.v12_waybel_0 _let_3 BOUND_VARIABLE_993)) (not (tptp.m1_subset_1 _let_3 (tptp.k1_zfmisc_1 _let_2))) (tptp.r2_hidden (tptp.k3_yellow_0 BOUND_VARIABLE_993) _let_1)))))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (or))) (let ((_let_66 (not _let_62))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_64) :args (_let_66))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_62))) (REFL :args (_let_63)) :args _let_65)) _let_64 :args (_let_63 true _let_62)))) (let ((_let_68 (REFL :args (_let_61)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 13)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_65)) :args ((or _let_28 _let_61))) _let_67 :args (_let_28 true _let_61)))) (let ((_let_70 (_let_47))) (let ((_let_71 (or _let_30 _let_60 _let_58 _let_29 _let_45 _let_38))) (let ((_let_72 (forall ((A $$unsorted) (BOUND_VARIABLE_1267 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v4_orders_2 A)) (not (tptp.v1_yellow_0 A)) (not (tptp.l1_orders_2 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1267 (tptp.u1_struct_0 A))) (tptp.r1_orders_2 A (tptp.k3_yellow_0 A) BOUND_VARIABLE_1267))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (or _let_27 _let_26 _let_30 _let_29 _let_43 _let_44))) (let ((_let_75 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_35))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_56 _let_42))) (let ((_let_78 (_let_11))) (let ((_let_79 (forall ((B $$unsorted)) (not (tptp.m1_subset_1 B (tptp.k3_xboole_0 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_80 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (not (tptp.m1_subset_1 B A))))))) (let ((_let_81 (not _let_79))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_56 _let_76 _let_42 (not _let_77)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 14)) _let_67 :args ((not _let_56) true _let_61)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83) (REWRITE :args ((=> _let_81 (not _let_76)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_79))) (REFL :args (_let_75)) :args _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_35 QUANTIFIERS_INST_ENUM)) :args (_let_80))) _let_82 :args (_let_81 false _let_80)) :args (_let_75 true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_19 :args (_let_77 false _let_11)) :args (_let_42 true _let_56 false _let_75 false _let_77)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 7)) _let_67 :args ((not _let_30) true _let_61)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 6)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_65)) :args ((or _let_25 _let_61))) _let_67 :args (_let_25 true _let_61)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 0)) _let_67 :args ((not _let_27) true _let_61)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_27 _let_26 _let_30 _let_29 _let_43 _let_44 (not _let_74)))) _let_87 _let_86 _let_85 _let_69 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_33 :args (_let_74 false _let_32)) :args (_let_44 true _let_27 false _let_25 true _let_30 false _let_28 false _let_42 false _let_74)))) (let ((_let_89 (or _let_29 _let_40))) (let ((_let_90 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.m1_subset_1 (tptp.k3_yellow_0 A) (tptp.u1_struct_0 A)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_9))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (and _let_37 _let_36))) (let ((_let_95 (ASSUME :args (_let_36)))) (let ((_let_96 (ASSUME :args (_let_37)))) (let ((_let_97 (not _let_15))) (let ((_let_98 (tptp.l1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_27 _let_99 _let_97))) (let ((_let_101 (forall ((A $$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_102 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_104 (or _let_26 _let_98))) (let ((_let_105 (forall ((A $$unsorted)) (or (not (tptp.l1_orders_2 A)) (tptp.l1_struct_0 A))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_13 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_14 _let_15 _let_17 _let_20))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 18)) _let_67 :args ((not _let_14) true _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_27 _let_97 _let_99 (not _let_100)))) _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_26 _let_98 (not _let_104)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_103) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_98 false _let_25 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_103) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_97 true _let_27 false _let_98 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_27 _let_26 _let_30 _let_29 _let_16 _let_24 (not _let_31)))) _let_87 _let_86 _let_85 _let_69 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_13)) (SYMM _let_96) :args (APPLY_UF tptp.r2_hidden)) (TRUE_INTRO _let_95))) :args (_let_36 _let_37))) :args (_let_37 _let_36))) :args (true _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_12 _let_21 QUANTIFIERS_INST_ENUM)) :args _let_92)) _let_93 :args (_let_37 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_41 _let_36 _let_43 _let_45 _let_39 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_29 _let_40 (not _let_89)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_40 false _let_28 false _let_89)) _let_84 _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_30 _let_60 _let_58 _let_29 _let_45 _let_38 (not _let_71)))) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 10)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_65)) :args ((or _let_59 _let_61))) _let_67 :args (_let_59 true _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 11)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_65)) :args ((or _let_57 _let_61))) _let_67 :args (_let_57 true _let_61)) _let_69 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_ENUM)) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_38 true _let_30 false _let_59 false _let_57 false _let_28 false _let_44 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 _let_13 QUANTIFIERS_INST_ENUM)) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or _let_55 _let_47 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 16)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_48))) :args _let_65)) :args ((or _let_48 _let_61))) _let_67 :args (_let_48 true _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_29 _let_51 _let_49 (not _let_52)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 17)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_65)) :args ((or _let_50 _let_61))) _let_67 :args (_let_50 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 QUANTIFIERS_INST_ENUM)) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_49 false _let_28 false _let_50 false _let_52)) :args (_let_47 false _let_48 false _let_49)) :args (_let_46 false _let_47)) :args (_let_36 false _let_40 false _let_42 false _let_44 false _let_38 false _let_46)) :args (_let_23 false _let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_33 :args (_let_31 false _let_32)) :args (_let_16 true _let_27 false _let_25 true _let_30 false _let_28 false _let_23 false _let_31)) :args (_let_20 true _let_14 true _let_15 false _let_16)) _let_19 :args (false true _let_18 false _let_11)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) _let_9 _let_8 (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (tptp.r2_hidden B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) true true true _let_7 _let_6 true true true (exists ((A $$unsorted)) (tptp.l1_orders_2 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) _let_5 _let_4 (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.v3_orders_2 A) (tptp.l1_orders_2 A)) (exists ((B $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_orders_2 A B C) (tptp.r1_orders_2 A B C))))) (forall ((A $$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.v2_orders_2 A) (tptp.l1_orders_2 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_orders_2 A B B)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.32/13.57  )
% 13.32/13.57  % SZS output end Proof for SEU411+1
% 13.32/13.57  % cvc5---1.0.5 exiting
% 13.32/13.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------