TSTP Solution File: SET352+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET352+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 14:38:35 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET352+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n015.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 08:56:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8knlSzQArJ/cvc5---1.0.5_4150.p...
% 0.20/0.55 ------- get file name : TPTP file name is SET352+4
% 0.20/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4150.smt2...
% 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Theorem for SET352+4
% 0.20/0.55 % SZS output start Proof for SET352+4
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.equal_set (tptp.sum (tptp.unordered_pair A B)) (tptp.union A B))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))))) (let ((_let_4 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))))) (let ((_let_5 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_11 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_13 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.sum _let_13))) (let ((_let_15 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_12))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.sum (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.subset _let_14 _let_11))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (not _let_18))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((tptp.subset A B)))) (let ((_let_27 (tptp.subset _let_11 _let_14))) (let ((_let_28 (and _let_20 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member X (tptp.sum (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_30 (= _let_27 _let_29))) (let ((_let_31 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_14))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_11))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (= _let_32 _let_37))) (let ((_let_39 (forall ((Y $$unsorted)) (or (not (tptp.member Y (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (= _let_31 _let_40))) (let ((_let_42 (not _let_35))) (let ((_let_43 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (not _let_36))) (let ((_let_47 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (or))) (let ((_let_51 (_let_5))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((tptp.member X (tptp.union A B))))) (let ((_let_54 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y A)) (not (tptp.member X Y))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.member X (tptp.sum A))))) (let ((_let_58 (not _let_41))) (let ((_let_59 (_let_39))) (let ((_let_60 ((not (= (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y) false))))) (let ((_let_61 (ASSUME :args _let_59))) (let ((_let_62 (_let_4))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.member X (tptp.unordered_pair A B))))) (let ((_let_65 (not _let_29))) (let ((_let_66 (_let_65))) (let ((_let_67 (tptp.equal_set _let_14 _let_11))) (let ((_let_68 (= _let_67 _let_28))) (let ((_let_69 (not _let_28))) (let ((_let_70 (_let_6))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (not _let_67))) (let ((_let_73 (_let_2))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (_let_22))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_20 _let_22 (not _let_21)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_68)) :args ((or _let_67 _let_69 (not _let_68)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_74) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_72)) :args _let_50)) _let_74 :args (_let_72 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_14 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_70)) _let_71 :args (_let_68 false _let_6)) :args (_let_69 true _let_67 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_27 _let_65 (not _let_30)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_29))) (REFL :args ((not _let_34))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 (not _let_37)))) (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62))) _let_63 :args (_let_47 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_42 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62))) _let_63 :args (_let_43 false _let_4)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_41)) (CONG (REFL :args (_let_58)) (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_50)) :args ((or _let_31 _let_39 _let_58))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_41 false _let_54)) (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_33 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_38 false _let_5)) (CNF_OR_NEG :args (_let_34 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_50)) :args ((or _let_32 _let_34))) :args (_let_34 true _let_36 false _let_47 true _let_35 false _let_43 false _let_49 false _let_45 false _let_39 false _let_41 false _let_37 false _let_38 true _let_31 false _let_32)) :args (_let_29 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_11 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_30 false _let_23)) :args (_let_27 false _let_29 false _let_30)) :args ((not _let_20) true _let_28 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_14 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_21 false _let_23)) :args (_let_22 true _let_20 false _let_21)) :args (_let_19 true _let_18)))) (let ((_let_77 (forall ((Y $$unsorted)) (or (not (tptp.member Y (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (= _let_15 _let_78))) (let ((_let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_81 (or _let_9 _let_80))) (let ((_let_82 (= _let_12 _let_81))) (let ((_let_83 (not _let_10))) (let ((_let_84 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_13))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83))) (let ((_let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_88 (or _let_8 _let_87))) (let ((_let_89 (= _let_84 _let_88))) (let ((_let_90 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_50)) :args ((or _let_15 _let_17))))) (let ((_let_91 (CNF_OR_NEG :args (_let_17 1)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_13 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_79 false _let_54)))) (let ((_let_93 (REORDERING (CNF_EQUIV_POS1 :args (_let_79)) :args ((or _let_16 _let_78 (not _let_79)))))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_82 false _let_5)))) (let ((_let_95 (not _let_81))) (let ((_let_96 (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_12 _let_95 (not _let_82)))))) (let ((_let_97 (not _let_86))) (let ((_let_98 (_let_78))) (let ((_let_99 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) (REFL :args (_let_97)) :args _let_50)))) (let ((_let_100 (REFL :args (_let_86)))) (let ((_let_101 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 1)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_10))) :args _let_50)) :args ((or _let_10 _let_86))))) (let ((_let_102 (REFL :args (_let_83)))) (let ((_let_103 (not _let_80))) (let ((_let_104 (ASSUME :args (_let_103)))) (let ((_let_105 (APPLY_UF tptp.member))) (let ((_let_106 (ASSUME :args (_let_87)))) (let ((_let_107 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_108 (ASSUME :args (_let_10)))) (let ((_let_109 (not _let_9))) (let ((_let_110 (not _let_8))) (let ((_let_111 (and _let_109 _let_8))) (let ((_let_112 (_let_109 _let_8))) (let ((_let_113 (ASSUME :args (_let_109)))) (let ((_let_114 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_114) (SCOPE (FALSE_ELIM (TRANS (CONG _let_107 (SYMM _let_114) :args _let_105) (FALSE_INTRO _let_113))) :args _let_112)) :args _let_112)) :args (true _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_9))) (REFL :args (_let_110)) _let_102 :args _let_50)) :args ((or _let_9 _let_83 _let_110))) (MACRO_RESOLUTION_TRUST _let_101 (MACRO_RESOLUTION_TRUST _let_99 (MACRO_RESOLUTION_TRUST _let_93 (MACRO_RESOLUTION_TRUST _let_90 _let_76 :args (_let_15 true _let_17)) _let_92 :args (_let_78 false _let_15 false _let_79)) :args (_let_97 true _let_77)) :args (_let_10 true _let_86)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 0)) (MACRO_RESOLUTION_TRUST _let_96 (MACRO_RESOLUTION_TRUST _let_91 _let_76 :args ((not _let_12) true _let_17)) _let_94 :args (_let_95 true _let_12 false _let_82)) :args (_let_109 true _let_81)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_104 _let_106 _let_108) :args (_let_103 _let_10 _let_87)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_108)) (CONG _let_107 (SYMM _let_106) :args _let_105) (FALSE_INTRO _let_104))) :args (_let_103 _let_87 _let_10)) :args ((not (and _let_103 _let_10 _let_87)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_80))) _let_102 (REFL :args ((not _let_87))) :args _let_50)) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_8 _let_87 (not _let_88)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_85 _let_88 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62))) _let_63 :args (_let_89 false _let_4)) _let_101 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 0)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_50)) :args ((or _let_84 _let_86))) (CNF_OR_NEG :args (_let_81 1)) _let_99 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 :args ((or _let_17 _let_8) false _let_87 false _let_88 false _let_89 false _let_10 false _let_84 true _let_80 true _let_86 true _let_81 false _let_82 true _let_77 false _let_79 true _let_12 false _let_15)) _let_76 :args (_let_8 true _let_17)) :args (false false _let_10 true _let_9 false _let_8)) :args (_let_7 _let_6 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) _let_5 (forall ((X $$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 $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) _let_4 _let_3 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SET352+4
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------