%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET698+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 14:39:57 EDT 2023

% Result   : Theorem 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET698+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 11:18:35 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.boxLJGLcQ3/cvc5---1.0.5_2574.p...
% 0.20/0.56  ------- get file name : TPTP file name is SET698+4
% 0.20/0.56  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2574.smt2...
% 0.20/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Theorem for SET698+4
% 0.20/0.56  % SZS output start Proof for SET698+4
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (= (tptp.subset A B) (tptp.equal_set (tptp.union (tptp.difference E A) B) E))))))) (let ((_let_2 (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_6 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= _let_11 _let_6))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (_let_13))) (let ((_let_16 ((tptp.subset A B)))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_12 false _let_13)))) (let ((_let_18 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.union _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.equal_set _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (= _let_11 _let_20))) (let ((_let_22 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19))) (let ((_let_23 (tptp.subset _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (and _let_23 _let_22))) (let ((_let_25 (= _let_20 _let_24))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_31 (= _let_22 _let_30))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (or _let_28 _let_32))) (let ((_let_34 (and _let_32 _let_28))) (let ((_let_35 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19))) (let ((_let_36 (not _let_32))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_18))) (let ((_let_39 (= _let_38 _let_34))) (let ((_let_40 (or _let_38 _let_26))) (let ((_let_41 (= _let_35 _let_40))) (let ((_let_42 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_21))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (= (tptp.subset A B) (tptp.equal_set (tptp.union (tptp.difference E A) B) E)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 2)) _let_52 :args ((not _let_21) true _let_46)))) (let ((_let_54 (_let_21))) (let ((_let_55 (not _let_12))) (let ((_let_56 (not _let_6))) (let ((_let_57 (_let_12))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_58)) _let_59 :args (_let_25 false _let_4)))) (let ((_let_61 (not _let_25))) (let ((_let_62 (not _let_20))) (let ((_let_63 (_let_25))) (let ((_let_64 (_let_56))) (let ((_let_65 (not _let_24))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_31 false _let_13)))) (let ((_let_67 (not _let_31))) (let ((_let_68 (not _let_22))) (let ((_let_69 (_let_31))) (let ((_let_70 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_71 (= _let_44 _let_70))) (let ((_let_72 (REFL :args (_let_46)))) (let ((_let_73 (_let_70))) (let ((_let_74 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_75 (_let_30))) (let ((_let_76 (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (_let_2))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((tptp.member B (tptp.difference E A))))) (let ((_let_80 (_let_3))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.member X (tptp.union A B))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or (not _let_35) _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_41 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_26 _let_38 (not _let_40)))) (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 (not _let_37)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or (not _let_38) _let_34 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_39 false _let_2)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= _let_76 false))))) :args _let_75)) (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_28 (not _let_34)))) (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_28 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_45 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_50)) :args ((or _let_44 _let_46))) _let_52 :args (_let_44 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_71 false _let_13)) :args (_let_70 false _let_44 false _let_71)) :args (_let_33 false _let_70)) (REORDERING (CNF_EQUIV_POS1 :args _let_69) :args ((or _let_68 _let_30 _let_67))) _let_66 (CNF_OR_NEG :args (_let_29 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_50)) :args ((or _let_27 _let_29))) (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_22 _let_65))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_6))) (REFL :args ((not _let_29))) :args _let_50)) (REORDERING (CNF_EQUIV_POS1 :args _let_63) :args ((or _let_62 _let_24 _let_61))) _let_60 (REORDERING (CNF_EQUIV_POS2 :args _let_57) :args ((or _let_11 _let_56 _let_55))) _let_17 (REORDERING (CNF_EQUIV_NEG1 :args _let_54) :args ((or _let_11 _let_20 _let_21))) _let_53 :args (_let_11 false _let_41 true _let_40 false _let_35 true _let_38 false _let_39 false _let_37 true _let_34 false _let_32 false _let_33 false _let_30 false _let_31 true _let_26 false _let_27 false _let_22 true _let_29 false _let_24 false _let_25 true _let_6 false _let_12 false _let_20 true _let_21)))) (let ((_let_84 (not _let_10))) (let ((_let_85 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_86 (and _let_85 _let_9))) (let ((_let_87 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_18))) (let ((_let_88 (= _let_87 _let_86))) (let ((_let_89 (not _let_86))) (let ((_let_90 (or _let_87 _let_7))) (let ((_let_91 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_19))) (let ((_let_92 (= _let_91 _let_90))) (let ((_let_93 (not _let_90))) (let ((_let_94 (not _let_85))) (let ((_let_95 (or _let_94 _let_91))) (let ((_let_96 (not _let_95))) (let ((_let_97 (not _let_30))) (let ((_let_98 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_99 (= _let_23 _let_98))) (let ((_let_100 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_101 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_19))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_18))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (= _let_101 _let_106))) (let ((_let_108 (not _let_104))) (let ((_let_109 (or _let_108 _let_100))) (let ((_let_110 (and _let_100 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_111 (= _let_105 _let_110))) (let ((_let_112 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_113 (= _let_42 _let_112))) (let ((_let_114 (_let_112))) (let ((_let_115 (not _let_98))) (let ((_let_116 (_let_115))) (let ((_let_117 (_let_97))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_30))) (REFL :args (_let_96)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_69) :args ((or _let_22 _let_97 _let_67))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_63) :args ((or _let_20 _let_65 _let_61))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_54) _let_53 _let_83 :args (_let_62 true _let_21 false _let_11)) _let_60 :args (_let_65 true _let_20 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_23 _let_115 (not _let_99)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_116)) :args _let_116)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_98))) (REFL :args ((not _let_103))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_111)) :args ((or (not _let_105) _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_111 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_104 (not _let_106)))) (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_100 (not _let_110)))) (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_100 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= _let_76 true))))) :args _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or _let_43 _let_112 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_50)) :args ((or _let_42 _let_46))) _let_52 :args (_let_42 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_113 false _let_13)) :args (_let_112 false _let_42 false _let_113)) :args (_let_109 false _let_112)) (REORDERING (CNF_EQUIV_POS1 :args (_let_107)) :args ((or _let_102 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_107 false _let_3)) (CNF_OR_NEG :args (_let_103 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 0)) (CONG (REFL :args (_let_103)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_50)) :args ((or _let_101 _let_103))) :args (_let_103 false _let_111 false _let_105 true _let_110 true _let_104 false _let_109 false _let_106 false _let_107 true _let_100 false _let_101)) :args (_let_98 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_99 false _let_13)) :args (_let_23 false _let_98 false _let_99)) :args (_let_68 true _let_24 false _let_23)) _let_66 :args (_let_97 true _let_22 false _let_31)) :args (_let_96 true _let_30)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_92)) :args ((or _let_91 _let_93 (not _let_92)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_95 1)) _let_118 :args ((not _let_91) true _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_92 false _let_3)) :args (_let_93 true _let_91 false _let_92)))) (let ((_let_120 (_let_86))) (let ((_let_121 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_121) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_7 _let_9 _let_84))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_90 1)) _let_119 :args ((not _let_7) true _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_120) (CONG (REFL :args _let_120) (REFL :args (_let_94)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_50)) :args ((or _let_94 _let_8 _let_86))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_85))) :args _let_50)) :args ((or _let_85 _let_95))) _let_118 :args (_let_85 true _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_88)) :args ((or _let_87 _let_89 (not _let_88)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_90 0)) _let_119 :args ((not _let_87) true _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_88 false _let_2)) :args (_let_89 true _let_87 false _let_88)) :args (_let_8 false _let_85 true _let_86)) :args (_let_84 true _let_7 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_57) :args ((or (not _let_11) _let_6 _let_55))) _let_83 _let_17 :args (_let_6 false _let_11 false _let_12)) :args (false true _let_10 false _let_6)) :args (_let_5 _let_4 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) _let_3 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) _let_2 (forall ((X $$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_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for SET698+4
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------