TSTP Solution File: SET155+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 14:37:58 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
% 0.13/0.13 % Problem : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 15:21:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ccGypFM6NL/cvc5---1.0.5_15995.p...
% 0.20/0.54 ------- get file name : TPTP file name is SET155+4
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15995.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 SET155+4
% 0.20/0.54 % SZS output start Proof for SET155+4
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (tptp.equal_set (tptp.difference E (tptp.union A B)) (tptp.intersection (tptp.difference E A) (tptp.difference E B)))))))) (let ((_let_2 (forall ((B $$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 $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((X $$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 $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (_let_2))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 ((tptp.member B (tptp.difference E A))))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_13 false _let_2)))) (let ((_let_18 (not _let_10))) (let ((_let_19 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20))) (let ((_let_22 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.intersection _let_11 _let_22))) (let ((_let_24 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_21))) (let ((_let_27 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.subset _let_23 _let_20))) (let ((_let_30 (= _let_29 _let_27))) (let ((_let_31 (not _let_27))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 ((tptp.subset A B)))) (let ((_let_36 (tptp.subset _let_20 _let_23))) (let ((_let_37 (and _let_36 _let_29))) (let ((_let_38 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.intersection (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_39 (= _let_36 _let_38))) (let ((_let_40 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_23))) (let ((_let_41 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40))) (let ((_let_44 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_19))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (and _let_46 _let_45))) (let ((_let_48 (= _let_41 _let_47))) (let ((_let_49 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11))) (let ((_let_51 (and _let_50 _let_49))) (let ((_let_52 (= _let_40 _let_51))) (let ((_let_53 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (and _let_46 _let_54))) (let ((_let_56 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (or _let_53 _let_56))) (let ((_let_58 (= _let_44 _let_57))) (let ((_let_59 (= _let_50 _let_55))) (let ((_let_60 (not _let_56))) (let ((_let_61 (and _let_46 _let_60))) (let ((_let_62 (= _let_49 _let_61))) (let ((_let_63 (or))) (let ((_let_64 (_let_4))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.member X (tptp.intersection A B))))) (let ((_let_67 (not _let_47))) (let ((_let_68 (REORDERING (CNF_AND_POS :args (_let_47 0)) :args ((or _let_46 _let_67))))) (let ((_let_69 (REORDERING (CNF_AND_POS :args (_let_47 1)) :args ((or _let_45 _let_67))))) (let ((_let_70 (not _let_46))) (let ((_let_71 (REFL :args (_let_70)))) (let ((_let_72 (_let_55))) (let ((_let_73 (_let_3))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.member X (tptp.union A B))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_58 false _let_3)))) (let ((_let_77 (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_44 (not _let_57) (not _let_58)))))) (let ((_let_78 (_let_61))) (let ((_let_79 (not _let_38))) (let ((_let_80 (_let_79))) (let ((_let_81 (tptp.equal_set _let_20 _let_23))) (let ((_let_82 (= _let_81 _let_37))) (let ((_let_83 (not _let_37))) (let ((_let_84 (_let_5))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (or (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_81))) (let ((_let_87 (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (tptp.equal_set (tptp.difference E (tptp.union A B)) (tptp.intersection (tptp.difference E A) (tptp.difference E B))))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (not _let_87))) (let ((_let_91 (_let_31))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_29 _let_31 (not _let_30)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_81 _let_83 (not _let_82)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_86 2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_90))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_87))) (REFL :args (_let_88)) :args _let_63)) _let_89 :args (_let_88 true _let_87)) :args ((not _let_81) true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_20 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_84)) _let_85 :args (_let_82 false _let_5)) :args (_let_83 true _let_81 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_36 _let_79 (not _let_39)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_38))) (REFL :args ((not _let_43))) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_49 (not _let_61) (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_62 false _let_2)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_78) (CONG (REFL :args _let_78) _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) :args _let_63)) :args ((or _let_70 _let_56 _let_61))) (CNF_AND_NEG :args (_let_51)) (CNF_OR_NEG :args (_let_57 1)) (REORDERING (CNF_EQUIV_POS2 :args (_let_59)) :args ((or _let_50 (not _let_55) (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_59 false _let_2)) _let_77 _let_76 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 0)) _let_77 _let_76 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_72) (CONG (REFL :args _let_72) _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_63)) :args ((or _let_70 _let_53 _let_55))) _let_69 _let_68 :args ((or _let_67 _let_55) true _let_57 false _let_58 false _let_53 true _let_44 false _let_46)) _let_69 _let_68 (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_40 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_11 _let_22 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_52 false _let_4)) (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or _let_42 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_48 false _let_2)) (CNF_OR_NEG :args (_let_43 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_63)) :args ((or _let_41 _let_43))) :args (_let_43 false _let_62 false _let_61 true _let_49 true _let_56 false _let_50 false _let_59 true _let_57 false _let_58 false _let_55 true _let_44 false _let_46 true _let_51 false _let_52 false _let_47 false _let_48 true _let_40 false _let_41)) :args (_let_38 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_20 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_39 false _let_32)) :args (_let_36 false _let_38 false _let_39)) :args ((not _let_29) true _let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_23 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_34)) _let_33 :args (_let_30 false _let_32)) :args (_let_31 true _let_29 false _let_30)) :args (_let_28 true _let_27)))) (let ((_let_93 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_22))) (let ((_let_94 (and _let_12 _let_93))) (let ((_let_95 (= _let_24 _let_94))) (let ((_let_96 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19))) (let ((_let_97 (not _let_96))) (let ((_let_98 (and _let_9 _let_97))) (let ((_let_99 (= _let_21 _let_98))) (let ((_let_100 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_101 (not _let_100))) (let ((_let_102 (and _let_9 _let_101))) (let ((_let_103 (= _let_93 _let_102))) (let ((_let_104 (or _let_7 _let_100))) (let ((_let_105 (= _let_96 _let_104))) (let ((_let_106 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_63)) :args ((or _let_24 _let_26))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11 _let_22 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_95 false _let_4)))) (let ((_let_108 (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or _let_25 _let_94 (not _let_95)))))) (let ((_let_109 (not _let_94))) (let ((_let_110 (REORDERING (CNF_AND_POS :args (_let_94 0)) :args ((or _let_12 _let_109))))) (let ((_let_111 (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_12) _let_10 (not _let_13)))))) (let ((_let_112 (not _let_9))) (let ((_let_113 (_let_98))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST _let_110 (MACRO_RESOLUTION_TRUST _let_108 (MACRO_RESOLUTION_TRUST _let_106 _let_92 :args (_let_24 true _let_26)) _let_107 :args (_let_94 false _let_24 false _let_95)) :args (_let_12 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_18))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_105)) :args ((or _let_97 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_105 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_7 _let_100 (not _let_104)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_113) (CONG (REFL :args _let_113) (REFL :args (_let_112)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_63)) :args ((or _let_96 _let_98 _let_112))) (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_101 (not _let_102)))) (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_9 _let_18))) (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or (not _let_93) _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_103 false _let_2)) _let_111 _let_17 (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_93 _let_109))) _let_110 (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_21 (not _let_98) (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_99 false _let_2)) _let_108 _let_107 (CNF_OR_NEG :args (_let_26 1)) _let_106 :args ((or _let_26 _let_7) false _let_105 true _let_104 false _let_96 true _let_100 false _let_9 false _let_102 false _let_103 false _let_10 false _let_13 false _let_93 false _let_12 true _let_98 false _let_99 false _let_94 false _let_95 true _let_21 false _let_24)) _let_92 :args (_let_7 true _let_26)) :args (_let_18 false _let_7)) _let_17 :args (false false _let_12 true _let_10 false _let_13)) :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))) _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 SET155+4
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------