%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET613+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 14:39:28 EDT 2023

% Result   : Theorem 0.78s 1.01s
% Output   : Proof 0.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SET613+3 : TPTP v8.1.2. Released v2.2.0.
% 0.16/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 10:33:11 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.78/1.01  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7LHljJujBF/cvc5---1.0.5_486.p...
% 0.78/1.01  ------- get file name : TPTP file name is SET613+3
% 0.78/1.01  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_486.smt2...
% 0.78/1.01  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.78/1.01  % SZS status Theorem for SET613+3
% 0.78/1.01  % SZS output start Proof for SET613+3
% 0.78/1.01  (
% 0.78/1.01  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.difference (tptp.union B C) (tptp.intersection B C)) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))) (= B C))))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_11))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (_let_5))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_14)) _let_15 :args (_let_13 false _let_5)))) (let ((_let_17 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_17))) (let ((_let_19 (= _let_17 _let_11))) (let ((_let_20 (not _let_12))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_22))) (let ((_let_24 (and _let_23 _let_21))) (let ((_let_25 (tptp.difference _let_22 _let_17))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_25))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (_let_4))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((tptp.member D (tptp.difference B C))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_22 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_4)))) (let ((_let_32 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (tptp.union _let_33 _let_32))) (let ((_let_35 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_34))) (let ((_let_36 (= _let_35 _let_26))) (let ((_let_37 (forall ((D $$unsorted)) (= (tptp.member D (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.member D (tptp.difference (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (= _let_25 _let_34))) (let ((_let_40 (not _let_37))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C)))) (= B C))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (not _let_39))) (let ((_let_45 (_let_2))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (or))) (let ((_let_48 (_let_40))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_38)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_39 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_44)) :args _let_47)) _let_46 :args (_let_44 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_34 _let_25 QUANTIFIERS_INST_ENUM)) :args (_let_42)))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 true _let_39 false _let_41)) :args (_let_38 true _let_37)))) (let ((_let_50 (not _let_35))) (let ((_let_51 (or _let_8 _let_9))) (let ((_let_52 (= _let_23 _let_51))) (let ((_let_53 (_let_6))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((tptp.member D (tptp.union B C))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_52 false _let_6)))) (let ((_let_57 (not _let_8))) (let ((_let_58 (and _let_9 _let_57))) (let ((_let_59 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_32))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_33))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (= _let_35 _let_62))) (let ((_let_64 (not _let_9))) (let ((_let_65 (and _let_8 _let_64))) (let ((_let_66 (= _let_61 _let_65))) (let ((_let_67 (not _let_58))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_60 false _let_4)))) (let ((_let_69 (not _let_60))) (let ((_let_70 (not _let_59))) (let ((_let_71 (_let_60))) (let ((_let_72 (REORDERING (CNF_EQUIV_POS1 :args _let_71) :args ((or _let_70 _let_58 _let_69))))) (let ((_let_73 (_let_36))) (let ((_let_74 (REORDERING (CNF_EQUIV_NEG1 :args _let_73) :args ((or _let_35 _let_26 _let_36))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_33 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_63 false _let_6)))) (let ((_let_76 (not _let_63))) (let ((_let_77 (not _let_62))) (let ((_let_78 (_let_63))) (let ((_let_79 (REORDERING (CNF_EQUIV_POS2 :args _let_78) :args ((or _let_35 _let_77 _let_76))))) (let ((_let_80 (not _let_27))) (let ((_let_81 (_let_27))) (let ((_let_82 (REORDERING (CNF_EQUIV_POS1 :args _let_81) :args ((or (not _let_26) _let_24 _let_80))))) (let ((_let_83 (not _let_24))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_66 false _let_4)))) (let ((_let_85 (not _let_66))) (let ((_let_86 (not _let_65))) (let ((_let_87 (_let_66))) (let ((_let_88 (not _let_52))) (let ((_let_89 (not _let_23))) (let ((_let_90 (_let_52))) (let ((_let_91 (_let_65))) (let ((_let_92 (not _let_51))) (let ((_let_93 (REORDERING (CNF_EQUIV_POS1 :args _let_78) :args ((or _let_50 _let_62 _let_76))))) (let ((_let_94 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_18))))) (let ((_let_95 (_let_24))) (let ((_let_96 (_let_3))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_96)) _let_97 :args (_let_19 false _let_3)))) (let ((_let_99 (and _let_19 _let_18))) (let ((_let_100 (ASSUME :args (_let_18)))) (let ((_let_101 (ASSUME :args (_let_19)))) (let ((_let_102 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)) (SYMM _let_101) :args (APPLY_UF tptp.member)))) (let ((_let_103 (not _let_13))) (let ((_let_104 (_let_13))) (let ((_let_105 (not _let_10))) (let ((_let_106 (REORDERING (CNF_EQUIV_POS1 :args _let_87) :args ((or (not _let_61) _let_65 _let_85))))) (let ((_let_107 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_59 _let_77))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST _let_107 _let_72 _let_68 _let_106 _let_84 (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_57 _let_67))) (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_86))) (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_105))) (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_9 _let_105))) (REORDERING (CNF_EQUIV_POS1 :args _let_104) :args ((or _let_10 _let_20 _let_103))) _let_16 (RESOLUTION (CNF_AND_NEG :args (_let_99)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_100 _let_101) (SCOPE (TRUE_ELIM (TRANS _let_102 (TRUE_INTRO _let_100))) :args (_let_18 _let_19))) :args (_let_19 _let_18))) :args (true _let_99)) _let_98 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_95) (CONG (REFL :args _let_95) (REFL :args (_let_89)) _let_94 :args _let_47)) :args ((or _let_18 _let_24 _let_89))) (REORDERING (CNF_EQUIV_POS2 :args _let_81) :args ((or _let_26 _let_83 _let_80))) _let_31 _let_93 _let_75 (CNF_EQUIV_NEG2 :args _let_73) _let_49 :args ((or _let_50 _let_89) true _let_59 false _let_60 true _let_61 false _let_66 true _let_58 true _let_65 false _let_8 false _let_9 false _let_10 false _let_13 false _let_12 false _let_19 false _let_18 true _let_24 false _let_27 false _let_62 false _let_63 true _let_26 true _let_36)))) (let ((_let_109 (REORDERING (CNF_EQUIV_POS2 :args _let_90) :args ((or _let_23 _let_92 _let_88))))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 0)) :args ((or _let_8 _let_86))) (REORDERING (CNF_OR_NEG :args (_let_51 0)) :args ((or _let_57 _let_51))) _let_106 _let_84 _let_109 _let_56 _let_107 _let_108 _let_93 _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_8 _let_9 _let_92))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_91) (CONG (REFL :args _let_91) (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_9))) :args _let_47)) :args ((or _let_57 _let_9 _let_65))) (REORDERING (CNF_EQUIV_POS1 :args _let_90) :args ((or _let_89 _let_51 _let_88))) _let_56 (REORDERING (CNF_EQUIV_POS2 :args _let_87) :args ((or _let_61 _let_86 _let_85))) _let_84 (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_23 _let_83))) (CNF_OR_NEG :args (_let_62 0)) _let_82 _let_31 _let_79 _let_75 _let_74 _let_49 :args ((or _let_35 _let_9) true _let_8 false _let_51 false _let_52 true _let_65 false _let_66 false _let_23 true _let_61 false _let_24 false _let_27 true _let_62 false _let_63 false _let_26 true _let_36)) _let_72 _let_68 (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_9 _let_67))) :args (_let_9 true _let_8 false _let_65 false _let_66 true _let_51 false _let_52 false _let_61 true _let_23 false _let_62 false _let_63 false _let_35 true _let_59 false _let_60 true _let_58)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST _let_108 (MACRO_RESOLUTION_TRUST _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_51 1)) :args ((or _let_64 _let_51))) _let_110 :args (_let_51 false _let_9)) _let_56 :args (_let_23 false _let_51 false _let_52)) :args (_let_50 false _let_23)))) (let ((_let_112 (and _let_19 _let_21))) (let ((_let_113 (ASSUME :args (_let_21)))) (let ((_let_114 (_let_58))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_104) :args ((or _let_12 _let_105 _let_103))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_10)) :args ((or _let_57 _let_64 _let_10))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_114) (CONG (REFL :args _let_114) (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_8))) :args _let_47)) :args ((or _let_8 _let_64 _let_58))) :args ((or _let_64 _let_10 _let_58) false _let_8)) _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_71) :args ((or _let_59 _let_67 _let_69))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_62 1)) (MACRO_RESOLUTION_TRUST _let_79 _let_111 _let_75 :args (_let_77 true _let_35 false _let_63)) :args (_let_70 true _let_62)) _let_68 :args (_let_67 true _let_59 false _let_60)) :args (_let_10 false _let_9 true _let_58)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_101) (SCOPE (FALSE_ELIM (TRANS _let_102 (FALSE_INTRO _let_113))) :args (_let_21 _let_19))) :args (_let_19 _let_21))) :args (true _let_112)) (CONG (REFL :args ((not _let_19))) _let_94 (REFL :args (_let_20)) :args _let_47)) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_21 _let_83))) (MACRO_RESOLUTION_TRUST _let_82 (MACRO_RESOLUTION_TRUST _let_74 _let_111 _let_49 :args (_let_26 true _let_35 true _let_36)) _let_31 :args (_let_24 false _let_26 false _let_27)) :args (_let_21 false _let_24)) :args (_let_20 false _let_19 true _let_18)) _let_16 :args (false false _let_10 true _let_12 false _let_13)) :args (_let_7 _let_6 _let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.78/1.02  )
% 0.78/1.02  % SZS output end Proof for SET613+3
% 0.78/1.02  % cvc5---1.0.5 exiting
% 0.78/1.02  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------