TSTP Solution File: SET706+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET706+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 14:39:59 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET706+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 15:50:38 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IciGfVZzGY/cvc5---1.0.5_18706.p...
% 0.20/0.54 ------- get file name : TPTP file name is SET706+4
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18706.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SET706+4
% 0.20/0.54 % SZS output start Proof for SET706+4
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset C B) (tptp.subset B A)) (tptp.equal_set (tptp.difference A C) (tptp.union (tptp.difference B C) (tptp.difference A B)))))))) (let ((_let_2 (forall ((B $$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 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.member B (tptp.difference E A))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_2)))) (let ((_let_17 (not _let_9))) (let ((_let_18 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_6))) (let ((_let_21 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_22 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((tptp.subset A B)))) (let ((_let_28 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (tptp.union _let_28 _let_10))) (let ((_let_30 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.equal_set _let_30 _let_29))) (let ((_let_32 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_22))) (let ((_let_35 (or _let_34 _let_33 _let_31))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset C B)) (not (tptp.subset B A)) (tptp.equal_set (tptp.difference A C) (tptp.union (tptp.difference B C) (tptp.difference A B))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (REFL :args (_let_35)))) (let ((_let_43 (_let_21))) (let ((_let_44 (and _let_8 _let_19))) (let ((_let_45 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_28))) (let ((_let_46 (or _let_45 _let_11))) (let ((_let_47 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_29))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (_let_3))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.member X (tptp.union A B))))) (let ((_let_52 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_30))) (let ((_let_53 (not _let_47))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (tptp.subset _let_29 _let_30))) (let ((_let_58 (= _let_57 _let_55))) (let ((_let_59 (not _let_55))) (let ((_let_60 (tptp.subset _let_30 _let_29))) (let ((_let_61 (and _let_60 _let_57))) (let ((_let_62 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_63 (= _let_60 _let_62))) (let ((_let_64 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_29))) (let ((_let_65 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_30))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_71 (and _let_70 _let_69))) (let ((_let_72 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_73 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_28))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (= _let_64 _let_74))) (let ((_let_76 (= _let_73 _let_71))) (let ((_let_77 (CNF_OR_NEG :args (_let_67 1)))) (let ((_let_78 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (and _let_78 _let_69))) (let ((_let_80 (= _let_65 _let_79))) (let ((_let_81 (not _let_70))) (let ((_let_82 (and _let_78 _let_81))) (let ((_let_83 (= _let_72 _let_82))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_28 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_75 false _let_3)))) (let ((_let_85 (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_64 (not _let_74) (not _let_75)))))) (let ((_let_86 (not _let_79))) (let ((_let_87 (_let_71))) (let ((_let_88 (not _let_78))) (let ((_let_89 (_let_82))) (let ((_let_90 (not _let_62))) (let ((_let_91 (_let_90))) (let ((_let_92 (= _let_31 _let_61))) (let ((_let_93 (not _let_61))) (let ((_let_94 (_let_4))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (_let_59))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_55))) (REFL :args (_let_56)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_57 _let_59 (not _let_58)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_92)) :args ((or _let_31 _let_93 (not _let_92)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 2)) _let_41 :args ((not _let_31) true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_94)) _let_95 :args (_let_92 false _let_4)) :args (_let_93 true _let_31 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_60 _let_90 (not _let_63)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_62))) (REFL :args ((not _let_67))) :args _let_39)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_76)) :args ((or _let_73 (not _let_71) (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_76 false _let_2)) _let_85 _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_89) (CONG (REFL :args _let_89) (REFL :args (_let_88)) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_70))) :args _let_39)) :args ((or _let_88 _let_70 _let_82))) (REORDERING (CNF_EQUIV_POS2 :args (_let_83)) :args ((or _let_72 (not _let_82) (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_83 false _let_2)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_87) (CONG (REFL :args _let_87) (REFL :args (_let_81)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_39)) :args ((or _let_68 _let_81 _let_71))) (CNF_OR_NEG :args (_let_74 1)) (REORDERING (CNF_AND_POS :args (_let_79 1)) :args ((or _let_69 _let_86))) (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_78 _let_86))) _let_85 _let_84 (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_66 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_80 false _let_2)) _let_77 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_39)) :args ((or _let_65 _let_67))) :args ((or _let_67 _let_71) true _let_82 false _let_83 true _let_70 true _let_72 true _let_68 false _let_78 true _let_74 false _let_75 false _let_79 false _let_80 true _let_64 false _let_65)) _let_77 :args (_let_67 false _let_73 false _let_76 true _let_74 false _let_75 false _let_71 true _let_64)) :args (_let_62 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_63 false _let_24)) :args (_let_60 false _let_62 false _let_63)) :args ((not _let_57) true _let_61 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_29 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_58 false _let_24)) :args (_let_59 true _let_57 false _let_58)) :args (_let_56 true _let_55)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or _let_53 _let_46 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_47))) :args _let_39)) :args ((or _let_47 _let_54))) _let_97 :args (_let_47 true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_28 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_48 false _let_3)) :args (_let_46 false _let_47 false _let_48)))) (let ((_let_99 (or _let_7 _let_8))) (let ((_let_100 (and _let_6 _let_19))) (let ((_let_101 (= _let_45 _let_100))) (let ((_let_102 (not _let_46))) (let ((_let_103 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_104 (= _let_32 _let_103))) (let ((_let_105 (_let_103))) (let ((_let_106 (not _let_100))) (let ((_let_107 (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or (not _let_11) _let_9 (not _let_12)))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_101 false _let_2)))) (let ((_let_109 (not _let_45))) (let ((_let_110 (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or _let_109 _let_100 (not _let_101)))))) (let ((_let_111 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_11 _let_102))))) (let ((_let_112 (= _let_52 _let_44))) (let ((_let_113 (not _let_44))) (let ((_let_114 (not _let_8))) (let ((_let_115 (_let_44))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_115) (CONG (REFL :args _let_115) (REFL :args (_let_114)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_39)) :args ((or _let_18 _let_44 _let_114))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_112)) :args ((or _let_52 _let_113 (not _let_112)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_54 1)) _let_97 :args ((not _let_52) true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_112 false _let_2)) :args (_let_113 true _let_52 false _let_112)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_111 _let_110 _let_108 _let_107 _let_16 (REORDERING (CNF_AND_POS :args (_let_100 0)) :args ((or _let_6 _let_106))) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_17))) (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_8 _let_7 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) :args _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_33 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_39)) :args ((or _let_32 _let_35))) _let_41 :args (_let_32 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_104 false _let_24)) :args (_let_103 false _let_32 false _let_104)) :args (_let_99 false _let_103)) :args ((or _let_8 _let_102) true _let_45 false _let_101 true _let_11 false _let_12 true _let_100 true _let_9 true _let_6 false _let_99)) _let_98 :args (_let_8 false _let_46)) :args (_let_18 true _let_44 false _let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_107 (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_19 _let_106))) _let_116 :args (_let_106 false _let_18)) _let_108 :args (_let_109 true _let_100 false _let_101)) _let_98 :args (_let_11 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_6 (not _let_20)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) false))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or _let_34 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_22))) :args _let_39)) :args ((or _let_22 _let_35))) _let_41 :args (_let_22 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_23 false _let_24)) :args (_let_21 false _let_22 false _let_23)) :args (_let_20 false _let_21)) :args (_let_6 false _let_18 false _let_20)) :args (_let_17 false _let_6)) _let_16 :args (false false _let_11 true _let_9 false _let_12)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SET706+4
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------