%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET707+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 0.21s 0.81s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET707+4 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 10:30:23 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.81  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.75s8hQ6FCG/cvc5---1.0.5_11693.p...
% 0.21/0.81  ------- get file name : TPTP file name is SET707+4
% 0.21/0.81  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11693.smt2...
% 0.21/0.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.81  % SZS status Theorem for SET707+4
% 0.21/0.81  % SZS output start Proof for SET707+4
% 0.21/0.81  (
% 0.21/0.81  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (tptp.equal_set (tptp.unordered_pair (tptp.singleton A) (tptp.unordered_pair A B)) (tptp.unordered_pair (tptp.singleton U) (tptp.unordered_pair U V))) (and (= A U) (= B V))))))) (let ((_let_2 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))))) (let ((_let_4 (forall ((A $$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 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (_let_3))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (_let_2))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (or _let_18 _let_13))) (let ((_let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 ((tptp.member X (tptp.unordered_pair A B))))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_24 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (= _let_14 _let_24))) (let ((_let_26 (or _let_25 _let_15))) (let ((_let_27 (tptp.unordered_pair _let_24 _let_11))) (let ((_let_28 (tptp.member _let_14 _let_27))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (tptp.unordered_pair _let_14 _let_30))) (let ((_let_32 (tptp.member _let_14 _let_31))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_28))) (let ((_let_35 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.unordered_pair (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_36 (tptp.subset _let_31 _let_27))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.subset A B)))) (let ((_let_42 (tptp.subset _let_27 _let_31))) (let ((_let_43 (and _let_36 _let_42))) (let ((_let_44 (tptp.equal_set _let_31 _let_27))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (_let_4))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_49 (and _let_18 _let_48))) (let ((_let_50 (not _let_44))) (let ((_let_51 (or _let_50 _let_49))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.equal_set (tptp.unordered_pair (tptp.singleton A) (tptp.unordered_pair A B)) (tptp.unordered_pair (tptp.singleton U) (tptp.unordered_pair U V)))) (and (= A U) (= B V)))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_50 _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG (REFL :args (_let_51)) (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_44))) :args _let_55)) :args ((or _let_44 _let_51))) _let_57 :args (_let_44 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_31 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_46)) _let_47 :args (_let_45 false _let_4)) :args (_let_43 false _let_44 false _let_45)))) (let ((_let_59 (not _let_43))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or (not _let_36) _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_36 _let_59))) _let_58 :args (_let_36 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_31 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_35 false _let_36 false _let_37)))) (let ((_let_61 (_let_35))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_64 (not _let_25))) (let ((_let_65 (= _let_18 _let_63))) (let ((_let_66 (not _let_63))) (let ((_let_67 (= _let_30 _let_11))) (let ((_let_68 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30))) (let ((_let_69 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_71 (or _let_70 _let_48))) (let ((_let_72 (= _let_69 _let_71))) (let ((_let_73 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_11))) (let ((_let_74 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_75 (= _let_6 _let_74))) (let ((_let_76 (not _let_18))) (let ((_let_77 (= _let_30 _let_24))) (let ((_let_78 (or _let_77 _let_67))) (let ((_let_79 (or _let_15 _let_67))) (let ((_let_80 (tptp.member _let_30 _let_27))) (let ((_let_81 (= _let_80 _let_78))) (let ((_let_82 (tptp.member _let_30 _let_31))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_80))) (let ((_let_85 (tptp.member _let_11 _let_31))) (let ((_let_86 (= _let_85 _let_79))) (let ((_let_87 (tptp.member _let_11 _let_27))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_85))) (let ((_let_90 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (tptp.member X (tptp.unordered_pair (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_91 (= _let_42 _let_90))) (let ((_let_92 (_let_90))) (let ((_let_93 (not _let_77))) (let ((_let_94 (not _let_15))) (let ((_let_95 (not _let_67))) (let ((_let_96 (REFL :args (_let_76)))) (let ((_let_97 (and _let_18 _let_77 _let_95))) (let ((_let_98 (_let_95))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (=))) (let ((_let_101 (ASSUME :args (_let_77)))) (let ((_let_102 (ASSUME :args (_let_25)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (_let_18))) (let ((_let_105 (APPLY_UF tptp.singleton))) (let ((_let_106 (ASSUME :args _let_104))) (let ((_let_107 (SYMM (SYMM _let_106)))) (let ((_let_108 (and _let_67 _let_68))) (let ((_let_109 (ASSUME :args (_let_68)))) (let ((_let_110 (APPLY_UF tptp.member))) (let ((_let_111 (ASSUME :args (_let_67)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (not _let_74))) (let ((_let_114 (REFL :args ((not _let_70))))) (let ((_let_115 (ASSUME :args (_let_113)))) (let ((_let_116 (ASSUME :args (_let_70)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_119 (ASSUME :args (_let_73)))) (let ((_let_120 (not _let_6))) (let ((_let_121 (not _let_48))) (let ((_let_122 (and _let_121 _let_70))) (let ((_let_123 (ASSUME :args (_let_121)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_122)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_123) (SCOPE (FALSE_ELIM (TRANS (CONG _let_117 _let_118 :args _let_100) (FALSE_INTRO _let_123))) :args (_let_70 _let_121))) :args (_let_121 _let_70))) :args (true _let_122)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_48))) _let_114 (REFL :args (_let_120)) :args _let_55)) (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_6 _let_113 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_16))) _let_17 :args (_let_75 false _let_2)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_115 _let_106 _let_116 _let_111 _let_119) :args (_let_18 _let_70 _let_67 _let_113 _let_73)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_119)) (CONG _let_118 (TRANS _let_112 (CONG _let_107 (SYMM _let_117) :args (APPLY_UF tptp.unordered_pair))) :args _let_110) (FALSE_INTRO _let_115))) :args (_let_113 _let_18 _let_70 _let_67 _let_73)) :args ((not (and _let_18 _let_70 _let_67 _let_113 _let_73)) SB_LITERAL))) (CONG _let_96 _let_114 (REFL :args _let_98) (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_74))) (REFL :args ((not _let_73))) :args _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_73 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_48 _let_70 (not _let_71)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_71 (not _let_69) (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16)) _let_17 :args (_let_72 false _let_2)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_112 :args _let_110) (TRUE_INTRO _let_109))) :args (_let_68 _let_67))) :args (_let_67 _let_68))) :args (true _let_108)) :args ((or _let_69 _let_95 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_68 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_101 (MODUS_PONENS _let_106 (SCOPE (CONG _let_107 :args _let_105) :args _let_104))) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_103) (SYMM _let_101)) (REFL :args (_let_11)) :args _let_100) (FALSE_INTRO _let_99))) :args (_let_95 _let_77 _let_25))) :args (_let_18 _let_77 _let_95))) :args (true _let_97)) (CONG _let_96 (REFL :args (_let_93)) (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_67))) (REFL :args (_let_94)) :args _let_55)) :args ((or _let_76 _let_94 _let_67 _let_93))) (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_15 _let_67 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or (not _let_85) _let_79 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_85 _let_88 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_24 _let_11 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_87 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (_let_11 QUANTIFIERS_INST_ENUM)) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or (not _let_42) _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 _let_59))) _let_58 :args (_let_42 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_27 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_91 false _let_38)) :args (_let_90 false _let_42 false _let_91)) :args (_let_89 false _let_90)) :args (_let_85 false _let_87 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_14 _let_30 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_86 false _let_2)) :args (_let_79 false _let_85 false _let_86)) (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_67 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_80) _let_78 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_80 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_30 _let_14 _let_30 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_82 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_30 QUANTIFIERS_INST_ENUM)) :args _let_61)) _let_60 :args (_let_84 false _let_35)) :args (_let_80 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_30 _let_24 _let_11 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16)) _let_17 :args (_let_81 false _let_2)) :args (_let_78 false _let_80 false _let_81)) :args ((or _let_76 _let_67) false _let_15 false _let_79 false _let_77 false _let_78)) (CNF_AND_NEG :args (_let_49)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 1)) _let_57 :args ((not _let_49) true _let_51)) :args (_let_76 false _let_6 false _let_75 false _let_74 false _let_73 false _let_70 false _let_71 false _let_72 false _let_69 false _let_68 false _let_67 true _let_48 true _let_49)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_18 _let_66 (not _let_65)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_9))) _let_10 :args (_let_65 false _let_3)) :args (_let_66 true _let_18 false _let_65)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_9))) _let_10 :args (_let_23 false _let_3)))) (let ((_let_127 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_63))))) (let ((_let_128 (ASSUME :args (_let_23)))) (let ((_let_129 (TRUE_INTRO _let_128))) (let ((_let_130 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_131 (ASSUME :args (_let_66)))) (let ((_let_132 (FALSE_INTRO _let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_15 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_128 _let_102 _let_131) :args (_let_23 _let_66 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_132) (CONG _let_130 _let_103 :args _let_110) _let_129)) :args (_let_23 _let_25 _let_66)) :args ((not (and _let_23 _let_66 _let_25)) SB_LITERAL))) (CONG (REFL :args ((not _let_23))) _let_127 (REFL :args (_let_64)) :args _let_55)) _let_126 _let_125 :args (_let_64 false _let_23 true _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or (not _let_28) _let_26 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_28 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_14 _let_14 _let_30 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16))) _let_17 :args (_let_32 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_14 QUANTIFIERS_INST_ENUM)) :args _let_61)) _let_60 :args (_let_34 false _let_35)) :args (_let_28 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_14 _let_24 _let_11 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16)) _let_17 :args (_let_29 false _let_2)) :args (_let_26 false _let_28 false _let_29)) :args (_let_15 true _let_25 false _let_26)))) (let ((_let_134 (and _let_23 _let_15))) (let ((_let_135 (_let_23 _let_15))) (let ((_let_136 (ASSUME :args (_let_15)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_13 (not _let_19)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_19 (not _let_20) (not _let_21)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_136) (SCOPE (TRUE_ELIM (TRANS (CONG _let_130 _let_137 :args _let_110) _let_129)) :args _let_135)) :args _let_135)) :args (true _let_134)) _let_126 _let_133 :args (_let_20 false _let_23 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_16)) _let_17 :args (_let_21 false _let_2)) :args (_let_19 false _let_20 false _let_21)) :args (_let_13 true _let_18 false _let_19)))) (let ((_let_139 (not _let_13))) (let ((_let_140 (and _let_15 _let_13 _let_12))) (let ((_let_141 (ASSUME :args (_let_12)))) (let ((_let_142 (ASSUME :args (_let_13)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_24))) (let ((_let_145 (= _let_6 _let_144))) (let ((_let_146 (not _let_144))) (let ((_let_147 (and _let_66 _let_13))) (let ((_let_148 (_let_66 _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_8)) :args ((or _let_6 (not _let_7) (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_145)) :args ((or _let_120 _let_144 (not _let_145)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_131 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG _let_143 (REFL :args (_let_24)) :args _let_110) _let_132)) :args _let_148)) :args _let_148)) :args (true _let_147)) (CONG _let_127 (REFL :args (_let_139)) (REFL :args (_let_146)) :args _let_55)) _let_125 _let_138 :args (_let_146 true _let_63 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_9))) _let_10 :args (_let_145 false _let_3)) :args (_let_120 true _let_144 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_136 _let_142) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (TRANS (CONG _let_143 :args _let_105) (SYMM _let_137)) :args _let_110) (TRUE_INTRO _let_141))) :args (_let_12 _let_15 _let_13))) :args (_let_15 _let_13 _let_12))) :args (true _let_140)) :args ((or _let_94 _let_139 _let_7 (not _let_12)))) _let_133 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_16))) _let_17 :args (_let_12 false _let_2)) :args (_let_7 false _let_15 false _let_13 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_9)) _let_10 :args (_let_8 false _let_3)) :args (false true _let_6 false _let_7 false _let_8)) :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)))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) _let_3 _let_2 (forall ((X $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.81  )
% 0.21/0.81  % SZS output end Proof for SET707+4
% 0.21/0.81  % cvc5---1.0.5 exiting
% 0.21/0.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------