%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 14:39:55 EDT 2023

% Result   : Theorem 0.16s 0.61s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat Aug 26 15:15:07 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.16/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.61  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SI3eD2Jdlx/cvc5---1.0.5_13815.p...
% 0.16/0.61  ------- get file name : TPTP file name is SET690+4
% 0.16/0.61  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13815.smt2...
% 0.16/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.61  % SZS status Theorem for SET690+4
% 0.16/0.61  % SZS output start Proof for SET690+4
% 0.16/0.61  (
% 0.16/0.61  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.equal_set (tptp.union (tptp.intersection A B) C) (tptp.intersection A (tptp.union B C))) (tptp.subset C A))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_8))) (let ((_let_10 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.union _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_9))) (let ((_let_15 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_7))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (= _let_9 _let_17))) (let ((_let_19 (_let_4))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 ((tptp.member X (tptp.intersection A B))))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_18 false _let_4)))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (= _let_15 _let_25))) (let ((_let_27 (_let_3))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((tptp.member X (tptp.union A B))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_3)))) (let ((_let_31 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_11))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (or))) (let ((_let_40 (_let_35))) (let ((_let_41 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args _let_40) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_39)) :args ((or _let_33 _let_35))))) (let ((_let_42 (CNF_OR_NEG :args (_let_35 1)))) (let ((_let_43 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_10) _let_33))) (let ((_let_44 (= _let_36 _let_43))) (let ((_let_45 (not _let_38))) (let ((_let_46 (_let_38))) (let ((_let_47 (REORDERING (CNF_OR_POS :args _let_46) :args ((or _let_32 _let_37 _let_45))))) (let ((_let_48 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_49 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (= _let_49 _let_31))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_11))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (tptp.equal_set _let_11 _let_8))) (let ((_let_56 (= _let_55 _let_49))) (let ((_let_57 (tptp.subset _let_8 _let_11))) (let ((_let_58 (tptp.subset _let_11 _let_8))) (let ((_let_59 (and _let_58 _let_57))) (let ((_let_60 (= _let_55 _let_59))) (let ((_let_61 (and _let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_7)))) (let ((_let_62 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_8))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_65 (= _let_58 _let_64))) (let ((_let_66 (or _let_53 _let_62))) (let ((_let_67 (not _let_35))) (let ((_let_68 (_let_31))) (let ((_let_69 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) (let ((_let_70 (ASSUME :args _let_68))) (let ((_let_71 (_let_48))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.subset A B)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_50 false _let_73)))) (let ((_let_78 (not _let_50))) (let ((_let_79 (_let_50))) (let ((_let_80 (not _let_48))) (let ((_let_81 (_let_80))) (let ((_let_82 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_48))) (REFL :args ((not _let_54))) :args _let_39)))) (let ((_let_83 (not _let_56))) (let ((_let_84 (_let_2))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_85) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_83)) :args _let_39)) _let_85 :args (_let_83 true _let_1)))) (let ((_let_87 (_let_56))) (let ((_let_88 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_39)) :args ((or _let_52 _let_54))))) (let ((_let_89 (CNF_OR_NEG :args (_let_54 1)))) (let ((_let_90 (_let_5))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_11 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_90)) _let_91 :args (_let_60 false _let_5)))) (let ((_let_93 (not _let_60))) (let ((_let_94 (not _let_55))) (let ((_let_95 (_let_60))) (let ((_let_96 (not _let_59))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_11 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_65 false _let_73)))) (let ((_let_98 (not _let_65))) (let ((_let_99 (not _let_58))) (let ((_let_100 (_let_65))) (let ((_let_101 (_let_64))) (let ((_let_102 ((not (= (tptp.member X _let_11) false))))) (let ((_let_103 (not _let_31))) (let ((_let_104 (_let_103))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_31))) (REFL :args (_let_67)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG (REFL :args _let_46) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_39)) :args ((or _let_36 _let_38))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_101) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_53 _let_62 (not _let_66)))) (REORDERING (CNF_EQUIV_POS1 :args _let_100) :args ((or _let_99 _let_64 _let_98))) _let_97 (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or (not _let_62) _let_61 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_63 false _let_4)) (REORDERING (CNF_AND_POS :args (_let_59 0)) :args ((or _let_58 _let_96))) (REORDERING (CNF_AND_POS :args (_let_61 0)) :args ((or _let_51 (not _let_61)))) (REORDERING (CNF_EQUIV_POS1 :args _let_95) :args ((or _let_94 _let_59 _let_93))) _let_92 _let_89 _let_88 (REORDERING (CNF_EQUIV_NEG1 :args _let_87) :args ((or _let_55 _let_49 _let_56))) _let_86 _let_82 (REORDERING (CNF_EQUIV_POS1 :args _let_79) :args ((or (not _let_49) _let_31 _let_78))) _let_77 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) :args _let_71)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_47 (REORDERING (CNF_OR_POS :args _let_40) :args ((or _let_34 _let_32 _let_67))) :args ((or _let_34 _let_32 _let_37) true _let_66 false _let_64 false _let_65 true _let_62 false _let_63 false _let_58 true _let_61 false _let_59 false _let_60 true _let_51 false _let_52 false _let_55 true _let_56 true _let_54 true _let_49 false _let_50 true _let_48 true _let_31 true _let_38 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_44)) :args ((or _let_36 (not _let_43) (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_44 false _let_3)) _let_47 (REORDERING (CNF_OR_NEG :args (_let_43 1)) :args ((or _let_34 _let_43))) _let_42 _let_41 :args ((or _let_35 _let_45) false _let_44 true _let_36 false _let_43 true _let_32 false _let_33)) _let_42 _let_41 :args (_let_35 true _let_36 true _let_38 true _let_32 false _let_33)) :args (_let_31 false _let_35)))) (let ((_let_106 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_51))) (let ((_let_109 (or _let_13 _let_16))) (let ((_let_110 (REORDERING (CNF_EQUIV_POS2 :args _let_79) :args ((or _let_49 _let_103 _let_78))))) (let ((_let_111 (CNF_EQUIV_NEG2 :args _let_87))) (let ((_let_112 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_10))) (let ((_let_113 (or _let_112 _let_106))) (let ((_let_114 (= _let_52 _let_113))) (let ((_let_115 (and _let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_116 (= _let_112 _let_115))) (let ((_let_117 (not _let_108))) (let ((_let_118 (REORDERING (CNF_EQUIV_POS2 :args _let_95) :args ((or _let_55 _let_96 _let_93))))) (let ((_let_119 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member X (tptp.union (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_120 (= _let_57 _let_119))) (let ((_let_121 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_11))) (let ((_let_122 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_8))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121))) (let ((_let_125 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_126 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_127 (and _let_126 _let_125))) (let ((_let_128 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_129 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_10))) (let ((_let_130 (or _let_129 _let_128))) (let ((_let_131 (= _let_121 _let_130))) (let ((_let_132 (= _let_129 _let_127))) (let ((_let_133 (CNF_OR_NEG :args (_let_124 1)))) (let ((_let_134 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_7))) (let ((_let_135 (and _let_126 _let_134))) (let ((_let_136 (= _let_122 _let_135))) (let ((_let_137 (or _let_125 _let_128))) (let ((_let_138 (= _let_134 _let_137))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_131 false _let_3)))) (let ((_let_140 (REORDERING (CNF_EQUIV_POS2 :args (_let_131)) :args ((or _let_121 (not _let_130) (not _let_131)))))) (let ((_let_141 (not _let_135))) (let ((_let_142 (not _let_119))) (let ((_let_143 (_let_142))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_120)) :args ((or _let_57 _let_142 (not _let_120)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_143)) :args _let_143)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_142) _let_119))) (REFL :args ((not _let_124))) :args _let_39)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_130 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_132)) :args ((or _let_129 (not _let_127) (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_132 false _let_4)) _let_140 _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_128 _let_125 (not _let_137)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_138)) :args ((or (not _let_134) _let_137 (not _let_138)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_138 false _let_3)) (REORDERING (CNF_AND_NEG :args (_let_127)) :args ((or (not _let_126) (not _let_125) _let_127))) (CNF_OR_NEG :args (_let_130 1)) (REORDERING (CNF_AND_POS :args (_let_135 1)) :args ((or _let_134 _let_141))) (REORDERING (CNF_AND_POS :args (_let_135 0)) :args ((or _let_126 _let_141))) _let_140 _let_139 (REORDERING (CNF_EQUIV_POS1 :args (_let_136)) :args ((or _let_123 _let_135 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_136 false _let_4)) _let_133 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 0)) (CONG (REFL :args (_let_124)) (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_122))) :args _let_39)) :args ((or _let_122 _let_124))) :args ((or _let_124 _let_127) false _let_137 false _let_138 true _let_125 true _let_128 false _let_134 false _let_126 true _let_130 false _let_131 false _let_135 false _let_136 true _let_121 false _let_122)) _let_133 :args (_let_124 false _let_129 false _let_132 true _let_130 false _let_131 false _let_127 true _let_121)) :args (_let_119 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_8 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_120 false _let_73)) :args (_let_57 false _let_119 false _let_120)))) (let ((_let_145 (CNF_AND_NEG :args (_let_59)))) (let ((_let_146 (not _let_64))) (let ((_let_147 (REORDERING (CNF_EQUIV_POS2 :args _let_100) :args ((or _let_58 _let_146 _let_98))))) (let ((_let_148 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_10))) (let ((_let_149 (or _let_148 _let_23))) (let ((_let_150 (= _let_12 _let_149))) (let ((_let_151 (and _let_16 _let_24))) (let ((_let_152 (= _let_148 _let_151))) (let ((_let_153 (not _let_109))) (let ((_let_154 (CNF_OR_NEG :args (_let_14 1)))) (let ((_let_155 (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_9 (not _let_17) (not _let_18)))))) (let ((_let_156 (CNF_AND_NEG :args (_let_17)))) (let ((_let_157 (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_15 (not _let_25) (not _let_26)))))) (let ((_let_158 (not _let_14))) (let ((_let_159 (_let_146))) (let ((_let_160 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_159)) :args _let_159)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_64))) (REFL :args (_let_158)) :args _let_39)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_160 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 0)) (REORDERING (CNF_AND_POS :args (_let_151 1)) :args ((or _let_24 (not _let_151)))) _let_157 _let_30 (REORDERING (CNF_EQUIV_POS1 :args (_let_152)) :args ((or (not _let_148) _let_151 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_152 false _let_4)) _let_156 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_148 _let_23 (not _let_149)))) _let_155 _let_22 (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_13 _let_16 _let_153))) (REORDERING (CNF_EQUIV_POS1 :args (_let_150)) :args ((or _let_13 _let_149 (not _let_150)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_150 false _let_3)) _let_154 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_39)) :args ((or _let_12 _let_14))) :args ((or _let_14 _let_23 _let_153) false _let_24 true _let_25 false _let_26 false _let_151 false _let_152 true _let_15 false _let_148 true _let_17 false _let_18 false _let_16 false _let_149 false _let_150 true _let_9 false _let_12)) _let_147 _let_97 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_71)) _let_145 _let_144 _let_82 _let_118 _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or (not _let_112) _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_116 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_106 (not _let_113)))) (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_51 _let_107 _let_117))) (REORDERING (CNF_AND_POS :args (_let_115 0)) :args ((or _let_51 (not _let_115)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_114)) :args ((or _let_53 _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_114 false _let_3)) _let_89 _let_88 :args ((or _let_54 _let_117) false _let_116 false _let_112 true _let_106 true _let_115 false _let_113 false _let_114 true _let_51 false _let_52)) _let_111 _let_86 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_110 _let_77 :args ((or _let_103 _let_23) false _let_14 true _let_64 false _let_65 false _let_109 true _let_58 false _let_57 false _let_48 true _let_59 false _let_60 false _let_54 true _let_55 true _let_56 false _let_108 false _let_49 false _let_50)) _let_105 :args (_let_23 false _let_31)))) (let ((_let_162 (not _let_23))) (let ((_let_163 (or _let_162 _let_16))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_154 (MACRO_RESOLUTION_TRUST _let_160 (MACRO_RESOLUTION_TRUST _let_147 (MACRO_RESOLUTION_TRUST _let_145 (MACRO_RESOLUTION_TRUST _let_118 (MACRO_RESOLUTION_TRUST _let_111 _let_86 (MACRO_RESOLUTION_TRUST _let_110 _let_105 _let_77 :args (_let_49 false _let_31 false _let_50)) :args (_let_94 true _let_56 false _let_49)) _let_92 :args (_let_96 true _let_55 false _let_60)) _let_144 :args (_let_99 true _let_59 false _let_57)) _let_97 :args (_let_146 true _let_58 false _let_65)) :args (_let_158 true _let_64)) (MACRO_RESOLUTION_TRUST _let_155 (MACRO_RESOLUTION_TRUST _let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_16 _let_162 (not _let_163)))) _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_105 :args (_let_163 false _let_31)) :args (_let_16 false _let_23 false _let_163)) (MACRO_RESOLUTION_TRUST _let_157 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_25 1)) :args ((or _let_162 _let_25))) _let_161 :args (_let_25 false _let_23)) _let_30 :args (_let_15 false _let_25 false _let_26)) :args (_let_17 false _let_16 false _let_15)) _let_22 :args (_let_9 false _let_17 false _let_18)) :args (false true _let_14 false _let_9)) :args (_let_6 _let_5 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) _let_4 _let_3 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.61  )
% 0.16/0.61  % SZS output end Proof for SET690+4
% 0.16/0.61  % cvc5---1.0.5 exiting
% 0.16/0.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------