%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET623+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:39:33 EDT 2023

% Result   : Theorem 25.68s 26.01s
% Output   : Proof 25.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET623+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 13:58:25 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 25.68/26.01  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VGacTEEE2Z/cvc5---1.0.5_18540.p...
% 25.68/26.01  ------- get file name : TPTP file name is SET623+3
% 25.68/26.01  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18540.smt2...
% 25.68/26.01  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.68/26.01  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.68/26.01  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.68/26.01  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.68/26.01  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.68/26.01  % SZS status Theorem for SET623+3
% 25.68/26.01  % SZS output start Proof for SET623+3
% 25.68/26.01  (
% 25.68/26.01  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.symmetric_difference (tptp.symmetric_difference B C) D) (tptp.symmetric_difference B (tptp.symmetric_difference C D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference (tptp.union B C) D) (tptp.union (tptp.difference B D) (tptp.difference C D)))))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference (tptp.difference B C) D) (tptp.difference B (tptp.union C D)))))) (let ((_let_8 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.difference (tptp.union B C) (tptp.intersection B C)) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_9 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference B (tptp.difference C D)) (tptp.union (tptp.difference B C) (tptp.intersection B D)))))) (let ((_let_10 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection (tptp.intersection B C) D) (tptp.intersection B (tptp.intersection C D)))))) (let ((_let_11 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.union (tptp.union B C) D) (tptp.union B (tptp.union C D)))))) (let ((_let_12 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_13 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_15 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.symmetric_difference _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (= _let_16 _let_14))) (let ((_let_18 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.union _let_19 _let_18))) (let ((_let_21 (= _let_15 _let_20))) (let ((_let_22 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (tptp.union _let_23 _let_22))) (let ((_let_25 (= _let_13 _let_24))) (let ((_let_26 (tptp.symmetric_difference _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= _let_14 _let_26))) (let ((_let_28 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_29 (= _let_16 _let_28))) (let ((_let_30 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_31 (= _let_28 (tptp.union _let_30 (tptp.difference _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_32 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_33 (= _let_26 (tptp.union (tptp.difference _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_32)))) (let ((_let_34 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.difference _let_35 _let_34))) (let ((_let_37 (= _let_20 _let_36))) (let ((_let_38 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_39 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (tptp.difference _let_39 _let_38))) (let ((_let_41 (= _let_24 _let_40))) (let ((_let_42 (tptp.difference _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (tptp.difference _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (tptp.union _let_43 _let_42))) (let ((_let_45 (= (tptp.difference _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_44))) (let ((_let_46 (tptp.difference _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (tptp.difference _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_48 (tptp.union _let_47 _let_46))) (let ((_let_49 (= (tptp.difference _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_48))) (let ((_let_50 (= (tptp.union _let_44 _let_32) (tptp.union _let_43 (tptp.union _let_42 _let_32))))) (let ((_let_51 (tptp.union _let_30 _let_47))) (let ((_let_52 (tptp.union _let_51 _let_46))) (let ((_let_53 (= _let_52 (tptp.union _let_30 _let_48)))) (let ((_let_54 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38))) (let ((_let_55 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39))) (let ((_let_56 (tptp.union _let_55 _let_54))) (let ((_let_57 (= (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40) _let_56))) (let ((_let_58 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_34))) (let ((_let_59 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35))) (let ((_let_60 (tptp.union _let_59 _let_58))) (let ((_let_61 (= (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_36) _let_60))) (let ((_let_62 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (= _let_42 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_62)))) (let ((_let_64 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= _let_43 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_64)))) (let ((_let_66 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (= _let_46 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_66)))) (let ((_let_68 (= _let_47 _let_55))) (let ((_let_69 (= _let_35 _let_62))) (let ((_let_70 (= _let_64 _let_66))) (let ((_let_71 (= _let_56 (tptp.union _let_54 _let_55)))) (let ((_let_72 (= _let_52 (tptp.union _let_46 _let_51)))) (let ((_let_73 (tptp.intersection _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (= _let_54 _let_73))) (let ((_let_75 (= _let_58 _let_73))) (let ((_let_76 (= (tptp.union _let_60 _let_47) (tptp.union _let_59 (tptp.union _let_58 _let_47))))) (let ((_let_77 (not _let_17))) (let ((_let_78 (_let_2))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_12))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.symmetric_difference B C)))) (let ((_let_83 (_let_3))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.symmetric_difference B C)))) (let ((_let_86 (_let_8))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.union (tptp.difference B C) (tptp.difference C B))))) (let ((_let_89 (_let_6))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((tptp.difference (tptp.union B C) D)))) (let ((_let_92 (_let_11))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (_let_9))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 ((tptp.difference B (tptp.difference C D))))) (let ((_let_97 (_let_7))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((tptp.difference (tptp.difference B C) D)))) (let ((_let_100 (_let_5))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((tptp.union B C)))) (let ((_let_103 (_let_10))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (_let_4))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (and _let_21 _let_25 _let_27 _let_29 _let_31 _let_33 _let_37 _let_41 _let_45 _let_49 _let_50 _let_53 _let_57 _let_61 _let_63 _let_65 _let_67 _let_68 _let_69 _let_70 _let_71 _let_72 _let_74 _let_75 _let_76))) (let ((_let_108 (ASSUME :args (_let_27)))) (let ((_let_109 (ASSUME :args (_let_33)))) (let ((_let_110 (APPLY_UF tptp.union))) (let ((_let_111 (APPLY_UF tptp.difference))) (let ((_let_112 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_113 (ASSUME :args (_let_25)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (ASSUME :args (_let_45)))) (let ((_let_116 (ASSUME :args (_let_50)))) (let ((_let_117 (ASSUME :args (_let_41)))) (let ((_let_118 (ASSUME :args (_let_57)))) (let ((_let_119 (ASSUME :args (_let_71)))) (let ((_let_120 (ASSUME :args (_let_68)))) (let ((_let_121 (ASSUME :args (_let_74)))) (let ((_let_122 (ASSUME :args (_let_75)))) (let ((_let_123 (ASSUME :args (_let_63)))) (let ((_let_124 (ASSUME :args (_let_69)))) (let ((_let_125 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_126 (ASSUME :args (_let_76)))) (let ((_let_127 (ASSUME :args (_let_61)))) (let ((_let_128 (ASSUME :args (_let_37)))) (let ((_let_129 (ASSUME :args (_let_21)))) (let ((_let_130 (SYMM (SYMM _let_129)))) (let ((_let_131 (ASSUME :args (_let_65)))) (let ((_let_132 (ASSUME :args (_let_70)))) (let ((_let_133 (ASSUME :args (_let_67)))) (let ((_let_134 (ASSUME :args (_let_72)))) (let ((_let_135 (ASSUME :args (_let_53)))) (let ((_let_136 (ASSUME :args (_let_49)))) (let ((_let_137 (ASSUME :args (_let_31)))) (let ((_let_138 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_109 _let_113 _let_115 _let_116 _let_131 _let_132 _let_133 _let_123 _let_124 _let_117 _let_118 _let_119 _let_121 _let_122 _let_120 _let_126 _let_127 _let_128 _let_129 _let_134 _let_135 _let_136 _let_137 _let_138) (SCOPE (TRANS (SYMM (SYMM _let_138)) (SYMM (SYMM _let_137)) (CONG (REFL :args (_let_30)) (TRANS (CONG _let_130 _let_125 :args _let_111) (SYMM (SYMM _let_136))) :args _let_110) (SYMM _let_135) (SYMM (SYMM _let_134)) (CONG (TRANS (SYMM (SYMM _let_133)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (SYMM _let_132) :args _let_111) (SYMM _let_131)) (TRANS (CONG (TRANS (CONG _let_125 (TRANS _let_130 (SYMM (SYMM _let_128))) :args _let_111) (SYMM (SYMM _let_127))) (REFL :args (_let_47)) :args _let_110) (SYMM (SYMM _let_126)) (CONG (TRANS (CONG _let_125 (SYMM (SYMM _let_124)) :args _let_111) (SYMM _let_123)) (TRANS (CONG (TRANS (SYMM (SYMM _let_122)) (SYMM _let_121)) (SYMM (SYMM _let_120)) :args _let_110) (SYMM _let_119) (SYMM _let_118) (CONG _let_112 (TRANS (SYMM _let_117) _let_114) :args _let_111)) :args _let_110)) :args _let_110) (SYMM _let_116) (CONG (TRANS (SYMM _let_115) (CONG _let_114 _let_112 :args _let_111)) (REFL :args (_let_32)) :args _let_110) (SYMM _let_109) (SYMM _let_108)) :args (_let_27 _let_33 _let_25 _let_45 _let_50 _let_65 _let_70 _let_67 _let_63 _let_69 _let_41 _let_57 _let_71 _let_74 _let_75 _let_68 _let_76 _let_61 _let_37 _let_21 _let_72 _let_53 _let_49 _let_31 _let_29))) :args (_let_21 _let_25 _let_27 _let_29 _let_31 _let_33 _let_37 _let_41 _let_45 _let_49 _let_50 _let_53 _let_57 _let_61 _let_63 _let_65 _let_67 _let_68 _let_69 _let_70 _let_71 _let_72 _let_74 _let_75 _let_76))) :args (true _let_107)) :args ((or _let_17 (not _let_21) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_37) (not _let_41) (not _let_45) (not _let_49) (not _let_50) (not _let_53) (not _let_57) (not _let_61) (not _let_63) (not _let_65) (not _let_67) (not _let_68) (not _let_69) (not _let_70) (not _let_71) (not _let_72) (not _let_74) (not _let_75) (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_59 _let_58 _let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_93 :args (_let_76 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_105)) _let_106 :args (_let_75 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.intersection B (tptp.intersection C D))))) :args _let_103))) _let_104 :args (_let_74 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_51 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_72 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_55 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_71 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_100)) _let_101 :args (_let_70 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_69 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_68 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_67 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_65 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_63 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35 _let_34 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_61 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39 _let_38 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_57 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_30 _let_47 _let_46 QUANTIFIERS_INST_E_MATCHING ((tptp.union B (tptp.union C D))))) :args _let_92)) _let_93 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_43 _let_42 _let_32 QUANTIFIERS_INST_E_MATCHING ((tptp.union (tptp.union B C) D)))) :args _let_92)) _let_93 :args (_let_50 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_19 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_49 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_23 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_45 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86))) _let_87 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86))) _let_87 :args (_let_37 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_33 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_31 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_27 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_25 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_21 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_79) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_77)) :args (or))) _let_79 :args (_let_77 true _let_1)) :args (false false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_65 false _let_63 false _let_61 false _let_57 false _let_53 false _let_50 false _let_49 false _let_45 false _let_41 false _let_37 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_21 true _let_17)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.68/26.01  )
% 25.68/26.01  % SZS output end Proof for SET623+3
% 25.68/26.01  % cvc5---1.0.5 exiting
% 25.68/26.02  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------