TSTP Solution File: SET697+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET697+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 0.63s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET697+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n004.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 14:53:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.63 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.MhtTPdgttx/cvc5---1.0.5_27799.p...
% 0.20/0.63 ------- get file name : TPTP file name is SET697+4
% 0.20/0.63 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27799.smt2...
% 0.20/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.63 % SZS status Theorem for SET697+4
% 0.20/0.63 % SZS output start Proof for SET697+4
% 0.20/0.63 (
% 0.20/0.63 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (= (tptp.subset A B) (tptp.equal_set (tptp.intersection A (tptp.difference E B)) tptp.empty_set))))))) (let ((_let_2 (forall ((B $$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 $$unsorted)) (not (tptp.member X tptp.empty_set))))) (let ((_let_4 (forall ((X $$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 $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (= _let_12 _let_7))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (_let_14))) (let ((_let_17 ((tptp.subset A B)))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_13 false _let_14)))) (let ((_let_19 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (tptp.equal_set _let_20 tptp.empty_set))) (let ((_let_22 (= _let_12 _let_21))) (let ((_let_23 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_22))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (= (tptp.subset A B) (tptp.equal_set (tptp.intersection A (tptp.difference E B)) tptp.empty_set)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (not _let_26))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_30))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_29)) _let_28 :args (_let_27 true _let_26)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 2)) _let_31 :args ((not _let_22) true _let_25)))) (let ((_let_33 (tptp.subset tptp.empty_set _let_20))) (let ((_let_34 (tptp.subset _let_20 tptp.empty_set))) (let ((_let_35 (and _let_34 _let_33))) (let ((_let_36 (= _let_21 _let_35))) (let ((_let_37 (not _let_21))) (let ((_let_38 (_let_5))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_20 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_38)) _let_39 :args (_let_36 false _let_5)))) (let ((_let_41 (not _let_35))) (let ((_let_42 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X tptp.empty_set))))) (let ((_let_43 (= _let_34 _let_42))) (let ((_let_44 (not _let_34))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_20 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_43 false _let_14)))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.empty_set))) (let ((_let_47 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (and _let_51 _let_50))) (let ((_let_53 (= _let_47 _let_52))) (let ((_let_54 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (not _let_51))) (let ((_let_56 (or _let_55 _let_54))) (let ((_let_57 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_58 (or _let_55 _let_57))) (let ((_let_59 (not _let_54))) (let ((_let_60 (and _let_57 _let_59))) (let ((_let_61 (= _let_50 _let_60))) (let ((_let_62 (not _let_42))) (let ((_let_63 (not _let_43))) (let ((_let_64 (_let_43))) (let ((_let_65 (_let_42))) (let ((_let_66 (forall ((X $$unsorted)) (or (not (tptp.member X tptp.empty_set)) (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_67 (= _let_33 _let_66))) (let ((_let_68 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 tptp.empty_set))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 _let_20)))) (let ((_let_71 (_let_3))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((not (= (tptp.member X tptp.empty_set) false))))) (let ((_let_74 (not _let_66))) (let ((_let_75 (_let_74))) (let ((_let_76 (not _let_36))) (let ((_let_77 (_let_36))) (let ((_let_78 (_let_4))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.member X (tptp.intersection A B))))) (let ((_let_81 (_let_22))) (let ((_let_82 (not _let_13))) (let ((_let_83 (not _let_7))) (let ((_let_84 (_let_13))) (let ((_let_85 (_let_83))) (let ((_let_86 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_87 (= _let_23 _let_86))) (let ((_let_88 (_let_86))) (let ((_let_89 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_90 (not _let_57))) (let ((_let_91 (_let_60))) (let ((_let_92 (_let_2))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.member B (tptp.difference E A))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_50 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_61 false _let_2)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_91) (CONG (REFL :args _let_91) (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_54))) :args _let_29)) :args ((or _let_54 _let_90 _let_60))) (REORDERING (CNF_AND_NEG :args (_let_52)) :args ((or _let_55 _let_52 (not _let_50)))) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_55 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_24 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_29)) :args ((or _let_23 _let_25))) _let_31 :args (_let_23 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_87 false _let_14)) :args (_let_86 false _let_23 false _let_87)) :args (_let_58 false _let_86)) (CNF_OR_NEG :args (_let_56 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) :args _let_29)) :args ((or _let_51 _let_56))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_7))) (REFL :args ((not _let_56))) :args _let_29)) (REORDERING (CNF_EQUIV_POS2 :args _let_84) :args ((or _let_12 _let_83 _let_82))) _let_18 (CNF_EQUIV_NEG2 :args _let_81) _let_32 (REORDERING (CNF_EQUIV_POS2 :args (_let_53)) :args ((or _let_47 (not _let_52) (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78)) _let_79 :args (_let_53 false _let_4)) (REORDERING (CNF_EQUIV_POS2 :args _let_77) :args ((or _let_21 _let_41 _let_76))) _let_40 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args ((not _let_46) false _let_3)) (CNF_AND_NEG :args (_let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_67)) :args ((or _let_33 _let_74 (not _let_67)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_66))) (REFL :args ((not _let_70))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG (REFL :args (_let_70)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_29)) :args ((or _let_68 _let_70))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_69 false _let_3)) :args (_let_70 true _let_68)) :args (_let_66 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.empty_set _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_16)) _let_15 :args (_let_67 false _let_14)) :args (_let_33 false _let_66 false _let_67)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X _let_20) false))))) :args _let_65)) (REORDERING (CNF_EQUIV_POS2 :args _let_64) :args ((or _let_34 _let_62 _let_63))) _let_45 :args (_let_62 false _let_61 false _let_60 true _let_50 false _let_57 false _let_58 true _let_54 false _let_51 true _let_56 true _let_7 false _let_13 true _let_12 true _let_22 true _let_52 false _let_53 false _let_21 false _let_36 true _let_47 true _let_46 false _let_35 false _let_33 false _let_49 false _let_34 false _let_43)))) (let ((_let_96 (not _let_11))) (let ((_let_97 (not _let_8))) (let ((_let_98 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_97))) (let ((_let_99 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_19))) (let ((_let_100 (= _let_99 _let_98))) (let ((_let_101 (and _let_9 _let_99))) (let ((_let_102 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_20))) (let ((_let_103 (= _let_102 _let_101))) (let ((_let_104 (not _let_102))) (let ((_let_105 (or _let_104 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 tptp.empty_set)))) (let ((_let_106 (not _let_105))) (let ((_let_107 (_let_62))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or _let_104 _let_101 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_105 0)) (CONG (REFL :args (_let_105)) (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_102))) :args _let_29)) :args ((or _let_102 _let_105))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_42))) (REFL :args (_let_106)) :args _let_29)) _let_95 :args (_let_106 true _let_42)) :args (_let_102 true _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78)) _let_79 :args (_let_103 false _let_4)) :args (_let_101 false _let_102 false _let_103)))) (let ((_let_109 (not _let_101))) (let ((_let_110 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_96))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_9 _let_109))) _let_108 :args (_let_9 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_98 1)) :args ((or _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or (not _let_99) _let_98 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_99 _let_109))) _let_108 :args (_let_99 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_100 false _let_2)) :args (_let_98 false _let_99 false _let_100)) :args (_let_97 false _let_98)) :args (_let_96 false _let_9 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_84) :args ((or (not _let_12) _let_7 _let_82))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_81) :args ((or _let_12 _let_21 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_77) :args ((or _let_37 _let_35 _let_76))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_34 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_64) :args ((or _let_44 _let_42 _let_63))) _let_95 _let_45 :args (_let_44 true _let_42 false _let_43)) :args (_let_41 true _let_34)) _let_40 :args (_let_37 true _let_35 false _let_36)) _let_32 :args (_let_12 true _let_21 true _let_22)) _let_18 :args (_let_7 false _let_12 false _let_13)) :args (false true _let_11 false _let_7)) :args (_let_6 _let_5 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) _let_4 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) _let_3 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.63 )
% 0.20/0.63 % SZS output end Proof for SET697+4
% 0.20/0.63 % cvc5---1.0.5 exiting
% 0.20/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------